Found 3 result(s)

25.02.2021 (Thursday)

Integrable E-models, 4d Chern-Simons theory and affine Gaudin models

Journal Club Benoit Vicedo (University of York)

15:15 Other
room Zoom, instructions in abstract

Two-dimensional integrable field theories are characterised by the existence of infinitely many integrals of motion. Recently, two unifying frameworks for describing such theories have emerged, based on four-dimensional Chern-Simons theory in the presence of surface defects and on Gaudin models associated with affine Kac-Moody algebras. I will explain how these formalisms can be used to construct infinite families of two-dimensional integrable field theories. The latter can all naturally be formulated as so-called E-models, a framework for describing Poisson-Lie T-duality in sigma-models. The talk will be based on the joint work [arXiv:2008.01829] with M. Benini and A. Schenkel and [2011.13809] with S. Lacroix. ---- Please register using the form at if you are a new participant. The link will be emailed.

12.11.2013 (Tuesday)


Regular Seminar Benoit Vicedo (Hertfordshire)

16:00 City U.
room CG02

21.03.2013 (Thursday)

Generalized sine-Gordon models and quantum braided groups

Exceptional Seminar Benoit Vicedo (U. of Hertfordshire)

14:00 IC
room B741

I will present the quantized function algebras associated with various examples of generalized sine-Gordon models. These are quadratic algebras of the general Freidel-Maillet type, the classical limits of which reproduce the lattice Poisson algebra recently obtained for these models formulated as gauged Wess-Zumino-Witten models plus an integrable potential. More specifically, I will argue based on these examples that the natural framework for constructing quantum lattice integrable versions of generalized sine-Gordon models is that of affine quantum braided groups.