Skyrmion News

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A figure from Jenny and Mareike's most recent paper, 'Head butting sheep: kink collisions in the presence of false vacua', will grace the cover of J. Phys. A: Math. Theor. vol. 49 issue 36. The article investigates the scattering of kink solutions in a scalar field theory with multiple vacua, and was written in collaboration with Minoru Eto, Muneto Nitta and Manu Paranjape. The figure (displayed above) is a contour plot of the full scalar potential of the model, with true vacua indicated with (T) and false vacua with (F). The green and red arrows illustrate the kinks of type A and B, respectively.

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During the summer, A-level student Tom took part in a Nuffield research placement in our topological soliton group, with Will as the main supervisor. Tom studied the solutions of differential equations and learned about boundary value problems, and how to use LaTeX and Maple. He produced analytical and numerical solutions, with the aim of studying Sturm-Liouville problems and their applications in Quantum mechanics.

Tom's placement was supported by the Nuffield foundation, and he is hoping to be awarded a British Science Association Gold CREST award for his work.

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Kent will host this year's LMS Undergraduate Summer School from 10/07/2016 to 22/07/2016. The aim of the School is to introduce modern mathematics to the best UK undergraduates who are not currently in their final year of study. Paul Sutcliffe will give a series of lectures on "Topological Solitons". For more information on this summer school visit the LMS website.
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The topological soliton group will take part in this year's Postgraduate Research festival on 20/05/2016. Jenny, Will and Steffen will present research posters on Baby Skyrmions and Skyrmions. We will also show off our vortex gun, tornado tubes and 3D printed Skyrmions. Our presentation will take place during the "Research showcase" in Woolf seminar room 4 at 11.00-11.45.

For further details see the event website.

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SET for BRITAIN

March, 2016

Jenny Ashcroft presented her work in Parliament as part of the 2016 SET for Britain poster competition on Monday 7th March. This competition aims to encourage, support and promote Britain's early-stage and early-career researchers by bringing them together with Members of Parliament to showcase their research. Jenny was selected to display a poster about 'Baby Skyrmions without a potential term' to a range of politicians and a panel of expert judges. Skyrmions are stable, finite energy solutions to highly nonlinear equations that are used to model atomic nuclei in the Skyrme model of nuclear physics. Very similar objects have been found to exist as tiny whirlpools in the magnetic field of certain materials. In the future, they could be used to design ultra-dense data storage systems where bits are stored as the presence or absence of a magnetic Skyrmion.
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We had an amazing weekend at the immersive LMS festival at the science museum. We designed interactive activities to engage the public with our research in solitons as they went undercover at Coral Beach Surf School. Solitons are a unique type of wave and a specialism of many mathematics lecturers at Kent. These waves can travel for great distances without slowing down or changing their shape.

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SEMPS in Surrey

November, 2015

The 5th South East Mathematical Physics Seminars took place on Friday 6 November 2015 at the University of Surrey. There were many interesting talks and in particular the two soliton related talks Hyperbolic Vortices by Nick Manton and Coulomb Branch and Moduli Space of Instantons by Giulia Ferlito. The 6th SEMPS meeting in the SEMPS series will be held on Friday 15 April in Cambridge.
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The Nuffield Research Placements Celebration took place on 15 October 2015. Our Nuffield project students Frazer Hope and Milgy Mathews and all their peers presented their work to project providers, families and friends. Both Frazer and Milgy received their Nuffield and CREST awards and were joined in their celebration by Jenny, Mareike and Steffen.

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A conference on Skyrmions will be held in Lanzhou, P.R. China from September 5th to September 8th (2015) at the Institute of Modern Physics (CAS).

Recent progress in effective field theory models describing nuclei, e.g. the possibility of describing nuclear clusters in the Skyrme model, makes this conference timely and should be a good opportunity for the community to discuss and develop new ideas. This is also an opportunity to form collaborations between groups in Europe and China. In particular, the conference will be focused on nuclear structure and nuclear clusters and the Hoyle state in the Skyrme model and other effective field theory models. The topics of the conference will also include hadron physics, effective theories of strong interactions and nonlinear field theories.

Further information can be found here . From our group, Steffen, Dave and Mareike will be attending.
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On the weekend of 4-6 September, the University hosted its 50th anniversary festival . As part of these celebrations, the School of Mathematics, Statistics and Actuarial Science (SMSAS) ran a special event on the 50th anniversary of the soliton. Solitons are a unique type of wave and a specialism of many mathematics lecturers at Kent. These waves have a rich and fascinating history with many applications, including tsunamis, fibre optics, superconductors, photosynthesis and protein folding. The event kicked off with a talk by Professor Peter Clarkson on the history of the soliton, featuring stunning photographs of these waves occurring in the sea and skies. This was followed by a practical demonstration by Lucy Barnes and Argyro Mainou, who created fluorescent soliton waves in our specially designed water tank and streamed live data from a water level sensor to compare their real waves with the mathematical predictions. During the coffee break, visitors were treated to hands on experience with our 3D printer and had the opportunity to take away their very own 3D printed soliton. There was also an exciting display of posters by four local school students who had undertaken research projects with various members of SMSAS in the previous month. After the break, Dr Constanze Roitzheim introduced us to the fascinating world of topology, and explained why a topologist cannot tell a doughnut from their coffee cup. In the final talk, Jenny Ashcroft discussed the relationship between solitons and particles, and created vortex rings using a smoke gun. To end the day, there was a trip to a local pub and the opportunity for a Q&A session with the speakers. The event was well attended, with lots of alumni, SMSAS staff members and students showing up to support the School and enjoy the festivities.
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We are very happy to welcome two Nuffield Research Placement students in our topological soliton group in August.

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SIG 4

June/July, 2015

There will be another workshop at the Jagiellonian University in Krakow on solitons and their applications to baryon physics, nuclear matter and neutron stars. The workshop is divided into two parts: Part 1 will take place from 24-26th June and part 2 will take place 7th-9th July.

The conference poster can be downloaded from here . Please email Dr Andrzej Wereszczynski andrzej.wereszczynski@uj.edu.pl in case you are interested in attending the conference.

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We are very happy that the above figure (taken from our article Phys. Rev. D 91, 105032 (2015) ) was selected to be displayed on the Physical Review D journal web site as part of the May Kaleidoscope. The figure shows the surface plot of the energy density of a charge-one compact baby Skyrmion solution. Note that the soliton solutions considered in our article do not require a potential term. This is a novel property as the standard baby Skyrme model must contain a potential term in order to have stable soliton solutions.
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We are very happy to have been awarded a conference grant from Kent's Faculty of Sciences Research Funding . The grant will be used to set up new research links with the quantum fluids group at the University of East Anglia .

A first two day meeting between the Kent topological soliton group, the quantum fluid group (in particular Davide Proment and Hayder Salman ) and SPOCK (David Foster) will take place on 23/06/-24/6/2015 in Norwich.

The meeting is hoped to be one of many, fostering research collaboration and PhD training within the Eastern Arc .

For more details

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Together with Joe Watkins (Outreach Officer at Kent) we have been awarded a Public Engagement with Research grant for our application “Visualizing Solitons at LMS Science Festival 2015”. The grant allowed us to buy a 3D printer, projector and screen which will be used at upcoming soliton Outreach events (eg. Kent's 50th anniversary celebrations, LMS 150th Anniversary Mathematics Festival).

A video showing the new 3D printer in action can be found on youtube .

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On Saturday 21st March, the Maths Open Day took place in the Centre for Mathematical Sciences as part of the Cambridge Science Festival 2015. As usual the Open Day attracted large numbers of visitors, perhaps more than ever before, with many staying at CMS for several hours.

Our topological soliton group took part with an interactive stand on solitary waves. Kids and parents loved creating mini-tsunamis in our water tank and sinking little pirate ships. Jenny took a video of two solitary waves passing through each other created in our water tank. It can be found on youtube .

A poster introducing the concept of solitary waves can be found here.
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Mareike had been selected to display a poster on SKYRMIONS - A model for nuclear physics at the House of Commons on 9th March in the Physical Sciences (Physics) Session from 3.00pm – 5.30pm in the Attlee Suite, Portcullis House.

The poster discussed recent advances in the Skyrme model and its applications to nuclear physics. The poster was done in a collaboration between Kent and Cambridge and presented research results of both Skyrmion research groups. The presented poster can be found here.

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Big Bang Fair 2015

March, 2015

The topological soliton group took part with a stand in the Big Bang festival on 20th March in Sandwich. The Big Bang Fair gives young people (aged 7-19) the possibility to explore what exciting career options there are in science, technology, engeneering and maths (STEM). At our stand, the public was able to experience the physics and mathematics of solitons first hand. Visitors created solitary waves in a water tank, watched movies on the dynamics of solitons and explored the symmetries of Skyrmion solutions via 3D exhibits.
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The 4th Winter Workshop on Non-perturbative Quantum Field Theory took place 2-5 February, 2015 at INLN in Sophia-Antipolis, France. The workshop brought together mathematical physicits working in the area of interacting quantum fields and solitonic field configurations in (semi-)classical field theory. Mareike gave a talk on "Skyrmions & Isospin".

Peer-reviewed proceedings are planned to be published in a Special Issue of Conference Proceedings in Science under the title Strongly Interacting Quantum Fields .

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The above figure (taken from our article Phys. Rev. D 90, 125035 (2014)) was selected to be displayed on the Physical Review D journal web site as part of the Kaleidoscope. The figure shows a charge-8 Skyrmion solution with approximate dihedral symmetry. Such type of Skyrmion solutions might be important when calculating properties of Beryllium in the Skyrme model.
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The UK-Japan Winter school on Topology and Integrability took place at Loughborough University, 5-8 January. There were lectures on "Topology and singularities of integrable Hamiltonian ODEs" (Alexey Bolsinov), "Mirror symmetry and tropical geometry" (Mark Gross) and "Instantons and Monopoles" (Paul Sutcliffe). Furthermore, there were invited talks on topological solitons: Nicholas Manton gave a talk on his recent work with Rafael Maldonado "Hyperbolic vortices on compact surfaces" and Martin Speight presented his work on "Extreme Skyrmions and Restricted Harmonic Maps".

From our group, Jenny and Mareike attended the winter school. Lecture notes can be found online .

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The Annual Theory Christmas Meeting (ATM) was held in Durham 15-17 December, hosted by the Centre for Particle Theory and organized by the IPPP. This year's talks focussed on the results of LHC Run 1, their interpretation and what to look for in LHC Run 2. Slides can be found online .

The ATM was followed by the seventh annual Young Theorists' Forum (YTF) . YTF brought together 92 postgraduate students working in theoretical physics. Topics covered included: BSM Physics, String Phenomenology, Holography, Cosmology, Amplitude, Solitons, SM Phenomenology, String Theory, QCD, Gravity.

From our group, Jenny Ashcroft gave a talk on "Baby Skyrme models without a potential term".

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Summer Students 2014

August, 2014

During summer Ileah and Joe, two A level students, made a research placement in our topological soliton group. They spent four to six weeks researching on dual-core baby Skyrmion systems. Dual-core systems are composed of a pair of (2+1)-dimensional baby Skyrme models coupled via a linear coupling potential. Ileah and Joe investigated coupled configurations for different choices of symmetry breaking interaction potentials.

Ileah's placement was supported by the Nuffield foundation and Joe was supported by Kent's School of Mathematics. Ileah and Joe were awarded British Science Association Gold CREST awards for their work.

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GMNMC 2014

August, 2014

The Geometric Models of Nuclear Matter Conference (GMNMC) was held from Monday, 18/08/2014 to Wednesday, 20/08/2014 at the University of Kent. The meeting brought together 30 mathematicians and physicists working on various aspects of the Skyrme model and related models and its applications to nuclear and astrophysics. Topics included:

  • (near) BPS Skyrme models
  • Skyrmions and Nuclear Physics
  • Holographic Skyrmions
  • New results in related models (e.g. Hopf solitons, monopoles, solitons coupled to gravity)
  • Geometric models of matter

For more details

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The first early career meeting of the South East Mathematical Physics Seminar was held on Monday 28th July 2014 at the University of Kent. The meeting was partially supported by a London Mathematical Society Joint Research Groups grant.

The meeting started with Benjamin Doyon (King's College London) giving an introduction to non-equilibrium steady states in many-body quantum systems. Sotiris Konstantinou-Rizos (Leeds) talked about Darboux transformations for NLS equations and Jennifer Willets (Heriot-Watt) discussed her work on generalizing the vertex operator approach to the spin-1 XXZ Heisenberg spin chain. Vikas Krishnamurthy (Imperial College London) presented analytical solutions for hollow vortices in weakly compressible flows and Alexander Cockburn (Durham) constructed monopole solutions in hyperbolic spacetime. Paul Jennings (Durham) reported on his search for non-torus knots in the Skyrme-Faddeev Model and Ilia Roustemoglou (Loughborough) simulated the formation of dispersive shock waves.

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SIG 3

July, 2014

The third meeting of the Solitons, (non)Integrability, Geometry (SIG) lecture series took place 14-18 July 2014 at the Jagiellonian University in Krakow. Talks included: BPS Skyrmions as neutron stars, near BPS Skyrmions, interpretation of the nuclear spin-orbit force in terms of classically spinning Skyrmions, supersymmetric extensions of the Skyrme model, vector meson effects, Skyrme and chiral perturbation theory predictions for compact star matter, thermodynamics of BPS Skyrme models, solitons in the Sakai-Sugimoto model, Ricci magnetic geodesic motion of lumps and vortices.

From our group in Kent, Dave gave a talk about his work with Derek Harland on gauged Skyrmion solutions, Steffen talked about Skyrmion Scattering and Mareike about isospinning Skyrmion solutions in Skyrme and baby Skyrme models.

A special highlight was a guided tour through the 3D printing facility, where we printed the dihedral B=8 Skyrmion solution shown in the above figure in white. The cubic B=4 Skyrmion (shown in blue) was printed at SIG2.

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Quarks 2014

June, 2014

Quarks-2014 was the 18th in the series of International seminars devoted to problems of modern field theory, theoretical and experimental particle physics, astrophysics and cosmology. The seminar was organized by the Institute for Nuclear Research of the Russian Academy of Sciences and Yaroslavl State University. It was held from June 2 to June 8 2014 in Suzdal, 35 km north of Vladimir, Russia. The Seminar gathered about 170 physicists.

From our group in Kent, Mareike gave a talk on classically isospinning Skyrme solitons. The article "Isospinning Skyrmions" will appear in the Proceedings of the 18th International Seminar QUARKS-2014.

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SIG 2

May, 2014

The second meeting of the Solitons, (non)Integrability, Geometry (SIG) lecture series took place 26-30 May 2014 at the Jagiellonian University in Krakow. The talks were devoted to skyrmions, their mathematical properties and applications to baryon physics and atomic nuclei. Topics included BPS and near BPS Skyrme theories, Skyrmions and domain walls, soliton solutions in Lifshitz field theories, nuclear phenomenology and the signum-Gordon model. From our group, Dave Foster gave a talk entitled "A smooth composite rational map ansatz for the Skyrme model" and Mareike Haberichter presented the latest results on "Isorotating Skyrmions".

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The May newsletter of Kent's School of Mathematics, Statitics and Actuarial Sciences features some of our recent activities.

During Prof. N. Manton’s visit in March a new double rational map ansatz was proposed. This creates ’solid’ Skyrmion instead of the usual Polyhedral Skyrmions. One of these con- figurations is shown in the above figure. This has led to a collaboration between the Kent group and the Cambridge group.

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SEMPS 2

May, 2014

The second South East Mathematical Physics Seminar took place on 15th May 2014 at King's College London. The South East Mathematical Physics Seminar Serie aims to bring together mathematical physicists based in and around the South East of England and is supported by a London Mathematical Society Joint Research Groups grant. Abera Muhamed gave a talk on “Moduli spaces of lumps on the projective plane RP^3”.

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Kent's Science Faculty held its 2014 Research Festival on 13 May 2014. The festival featured lightning talks from researchers across the seven schools of the Faculty, an invited speaker Prof Ofer Lahav (Perren Chair of Astronomy at UCL), speakers from our Eastern ARC partners (Essex and UEA) and posters. Mareike Haberichter gave a short presentation on “Skyrmions and Nuclei” and Jennifer Ashcroft presented a poster on Ginzburg-Landau Vortices.

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The Women in Mathematics Day is an annual event organised by the London Mathematical Society. This year it was held at De Morgan House, London on Friday 25 April 2014. Mareike Haberichter gave a talk on “Atomic Nuclei as Skyrme Solitons” and Jennifer Ashcroft presented a poster entitled “Minimal Energy Configurations for Ginzburg-Landau Vortices”.

Report and photos of the Women in Mathematics Day can be found in the July edition of the LMS newsletter.

Contact Info

Phone: +44(0)1227 827675

Address: School of Mathematics, Statistics and Actuarial Science, Canterbury CT2 7NF, U.K.

E-mail: S.Krusch@kent.ac.uk

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