Welcome to Solitons at Work, an open and informal network of mathematics and physics researchers who work on solitons. Please have a look around the website.

Upcoming Seminars

22nd April 2026 - 4pm BST (NOTE: this is a different time than normal)

Giacomo Santoni - Baryons, Skyrmions and θ-periodicity anomaly in chiral and vector-like gauge theories

We study the baryons and solitons of chiral and vector-like SU(N) gauge theories with matter in mixed one- and two-index representations. Focusing on the Color-flavor locked (CFL) phase, we compute the topology of the coset of their low-energy EFTs. We find that in the chiral models under consideration, Skyrmions are always absent. We also show, however, that some of these models admit heavy baryons that are expected to be stable, because their decay into the lighter degrees of freedom of the EFT is forbidden by the unbroken symmetry group. This mismatch suggests that some deeper dynamical mechanism must be responsible with either the instability of the seemingly stable heavy baryons or the unreliability of the Skyrme model in the low-energy EFT. In the vector-like models all the expected baryons are mirrored by Skyrmions. Then we turn to the study of domain walls. We determine some aspects of their dynamics by matching the θ-periodicity anomaly. We find that, for complete CFL, the θ-periodicity anomaly is always matched without introducing new dynamical degrees of freedom to the low-energy EFT. If part of the color group is unbroken, domain walls generally support new dynamical degrees of freedom. Based on the paper: arXiv:2510.09866.

29th April 2026 - 10am BST

Sven Bjarke Gudnason - TBA

TBA

Upcoming Coffee Clubs

17th April 2026, 10am BST

News

Soliton BREakthrough Workshop 2026

A small, informal, and discussion-oriented meeting on (non-)topological solitons and their dynamics which will be held in Opava Czechia from the 7th to the 11th of September 2026. Further details can be found on the workshop's webpage.

New open-source software for numerical soliton simulations (GPU-based, Python)

Paul Leask has just released a GPU based open source soliton solver package in Python which is available on his GitHub page. Currently it is set up to support a range of 2D field theories.

School on Geometry and Integrability in Będlewo from 24th to 27th of August 2026

The school is part of the Simons Programme on Twistor Theory and its Applications which takes place between the 24th of August and the 26th of September. For more details, see the webpage of the summer school.