On Bethe/Gauge correspondence

by Prof. Samson L. Shatashvili (School of Mathematics, Trinity College Dublin, Ireland)

Wednesday 2 Nov 2016, 15:00 → 16:00 Europe/Rome

Aula Teorici (Dipartimento di Fisica e Astronomia)

I review the relationship between supersymmetric gauge theories and quantum integrable systems. From the quantum integrability side this relation includes various spin chains, as well as many well-known quantum many body systems like elliptic Calogero-Moser system and generalisations. From the gauge theory side one has the supersymmetric gauge theory with four (and eight) supercharges in the space-time background which is a product of a d-dimensional torus, or a two dimensional cigar with Omega-deformation, and a flat space (with the total dimension of space-time being 2, 3, 4 or 5). The gauge theory perspective provides, in particular, the exact energy spectrum of the corresponding quantum integrable system.