Outputs (71)

Rational Skyrmions (2023)
Journal Article
Harland, D., & Sutcliffe, P. (2023). Rational Skyrmions. Journal of Physics A: Mathematical and Theoretical, 56(42), Article 425401. https://doi.org/10.1088/1751-8121/acfbcc

A new method is introduced to construct approximations to Skyrmions that are explicit rational functions of the spatial Cartesian coordinates. The scheme uses ADHM data of a Yang–Mills instanton to produce a Skyrmion with a baryon number that is equa... Read More about Rational Skyrmions.

A Skyrme Model with Novel Chiral Symmetry Breaking (2023)
Journal Article
Sutcliffe, P. (2023). A Skyrme Model with Novel Chiral Symmetry Breaking. Symmetry, integrability and geometry: methods and applications, 19, Article 051. https://doi.org/10.3842/sigma.2023.051

An extension of the Skyrme model is presented in which derivative terms are added that break chiral symmetry to isospin symmetry. The theory contains just one new parameter and it reduces to the standard Skyrme model when this symmetry breaking param... Read More about A Skyrme Model with Novel Chiral Symmetry Breaking.

Q-lump scattering (2023)
Journal Article
Sutcliffe, P. (2023). Q-lump scattering. Journal of High Energy Physics, 2023(6), Article 162. https://doi.org/10.1007/jhep06%282023%29162

Q-lumps are spinning planar topological solitons with stationary solutions that satisfy first-order Bogomolny equations. Q-lump scattering has previously been studied only in the charge two sector, by approximating time evolution by motion in the mod... Read More about Q-lump scattering.

Boundary metrics on soliton moduli spaces (2022)
Journal Article
Sutcliffe, P. (2022). Boundary metrics on soliton moduli spaces. Journal of High Energy Physics, 2022(1), Article 118. https://doi.org/10.1007/jhep01%282022%29118

The geodesic approximation is a powerful method for studying the dynamics of BPS solitons. However, there are systems, such as BPS monopoles in three-dimensional hyperbolic space, where this approach is not applicable because the moduli space metric... Read More about Boundary metrics on soliton moduli spaces.

A hyperbolic analogue of the Atiyah-Hitchin manifold (2022)
Journal Article
Sutcliffe, P. (2022). A hyperbolic analogue of the Atiyah-Hitchin manifold. Journal of High Energy Physics, 2022(1), Article 90. https://doi.org/10.1007/jhep01%282022%29090

The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric... Read More about A hyperbolic analogue of the Atiyah-Hitchin manifold.

Spectral curves of hyperbolic monopoles from ADHM (2021)
Journal Article
Sutcliffe, P. (2021). Spectral curves of hyperbolic monopoles from ADHM. Journal of Physics A: Mathematical and Theoretical, 54(16), Article 165401. https://doi.org/10.1088/1751-8121/abe5cc

Magnetic monopoles in hyperbolic space are in correspondence with certain algebraic curves in mini-twistor space, known as spectral curves, which are in turn in correspondence with rational maps between Riemann spheres. Hyperbolic monopoles correspon... Read More about Spectral curves of hyperbolic monopoles from ADHM.

Creation and observation of Hopfions in magnetic multilayer systems (2021)
Journal Article
Kent, N., Reynolds, N., Raftrey, D., Campbell, I. T., Virasawmy, S., Dhuey, S., …Fischer, P. (2021). Creation and observation of Hopfions in magnetic multilayer systems. Nature Communications, 12(1), Article 1562. https://doi.org/10.1038/s41467-021-21846-5

Among topological solitons, magnetic skyrmions are two-dimensional particle-like objects with a continuous winding of the magnetization, and magnetic Hopfions are three-dimensional objects that can be formed from a closed loop of twisted skyrmion str... Read More about Creation and observation of Hopfions in magnetic multilayer systems.

Colonies of threaded rings in excitable media (2020)
Journal Article
Maucher, F., & Sutcliffe, P. (2020). Colonies of threaded rings in excitable media. Physical review E: Statistical, nonlinear, and soft matter physics, 102(1), Article 010601(R). https://doi.org/10.1103/physreve.102.010601

A thring is a recent addition to the zoo of spiral wave phenomena found in excitable media and consists of a scroll ring that is threaded by a pair of counter-rotating scroll waves. This arrangement behaves as a particle that swims through the medium... Read More about Colonies of threaded rings in excitable media.

Threaded Rings that Swim in Excitable Media (2019)
Journal Article
Cincotti, A., Maucher, F., Evans, D., Chapin, B. M., Horner, K., Bromley, E., …Sutcliffe, P. (2019). Threaded Rings that Swim in Excitable Media. Physical Review Letters, 123(25), Article 258102. https://doi.org/10.1103/physrevlett.123.258102

Cardiac tissue and the Belousov-Zhabotinsky reaction provide two notable examples of excitable media that support scroll waves, in which a filament core is the source of spiral waves of excitation. Here we consider a novel topological configuration i... Read More about Threaded Rings that Swim in Excitable Media.

Dynamics of linked filaments in excitable media (2019)
Journal Article
Maucher, F., & Sutcliffe, P. (2019). Dynamics of linked filaments in excitable media. Nonlinearity, 32(3), Article 942. https://doi.org/10.1088/1361-6544/aafbb3

In this paper we present the results of parallel numerical computations of the long-term dynamics of linked vortex filaments in a three-dimensional FitzHugh–Nagumo excitable medium. In particular, we study all torus links with no more than 12 crossin... Read More about Dynamics of linked filaments in excitable media.