Aug 17 – 21, 2020
US/Eastern timezone

Dmitri Bykov: A new look at integrable sigma-models and their deformations

Aug 21, 2020, 1:30 PM
25m

Description

Abstract: I will show that flag manifold sigma-models (including CP^{n−1}, Grassmannian models as special cases) and their trigonometric/elliptic deformations may be cast in the form of gauged bosonic Gross-Neveu-type systems. Quantum mechanically the gauging is violated by chiral anomalies, which may be cancelled by adding fermions. I conjecture that such models are integrable and check that the trigonometrically deformed geometries satisfy the generalized Ricci flow equations.

Presentation materials