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

11th February 2026 - 10am GMT

Emin Nugaev - Conformal symmetry and planar nontopological solitons

We will consider the non-relativistic limit for scalar field models with a certain type of attractive self-interactions in (1+1) and (2+1) dimensions. A distinctive feature of these theories is their invariance under space-time transformations of the unbroken Schrodinger group, which includes the Galilean group with scale invariance and special conformal symmetry. Remarkably, non-topological solitons in non-relativistic conformal theories exhibit enhanced stability with respect to linear perturbations. Their spectrum consists only of zero modes. Relativistic corrections are considered as a mechanism for weakly violating conformal symmetry, leading to the appearance of decay/oscillating modes. A demonstration will be given of how these modes vanish when conformal symmetry is restored in the non-relativistic limit. We will also discuss the planar model, generalized by additional interaction with massive gauge field in Chern-Simons theory.

4th March 2026 - 4pm GMT (NOTE: this is a different time than normal)

Thomas Harris - Half-charge Prasad-Sommerfield monopoles in ℝ×T²

TBA

Upcoming Coffee Clubs

23rd January 2026, 10am GMT

News

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.