26–29 Sept 2023
DESY Hamburg
Europe/Berlin timezone

Diamonds of integrable deformations

27 Sept 2023, 12:00
40m
Main Auditorium (DESY Hamburg)

Main Auditorium

DESY Hamburg

Notkestr. 85 D-22607 Hamburg, Germany

Speaker

B. Hoare (Durham)

Description

There are two well-known origins of 2-dimensional integrable QFTs from 4 dimensions -- localisation of 4d Chern-Simons and symmetry reduction of 4d anti self-dual Yang-Mills. It is a conjecture of Costello that these can be unified in a diamond of theories, starting from holomorphic Chern-Simons theory in 6 dimensions.

It has been shown how this works for the simplest class of theories, including the principal chiral model with a Wess-Zumino term, by Bittleston and Skinner. In this talk I will discuss what happens if we try to deform and explore the new features that appear, including the role of novel boundary conditions in 4d Chern-Simons.

This talk is based on work with Lewis Cole, Ryan Cullinan, Joaquin Liniado and Dan Thompson.

Primary author

B. Hoare (Durham)

Presentation materials