Seminar
Speaker
Shiraz Minwalla (TIFR, Mumbai)
Date & Time
Fri, 07 October 2022, 11:00 to 12:30
Venue
Online and Madhava Lecture Hall
Abstract

I present a conjecture for the crossing symmetry rules for Chern Simons gauge theories interacting with massive matter in 2 + 1 dimensions. These crossing rules are given in terms of the expectation values of particular tangles of Wilson lines, and reduce to the standard rules at large Chern Simons level. I will present completely explicit results for the special case of two fundamental and two antifundamental insertions in SU(N)_k and U(N)_k theories. These formulae are consistent with the conjectured Level-Rank, Bose Fermi duality between these theories and take the form of a q  deformation of their large k counterparts. In the 't Hooft large N limit our results reduce to standard rules with one twist: the S matrix in the singlet channel is reduced by the factor sin πλ/πλ (where λ is the t’Hooft coupling), explaining ‘anomalous’ crossing properties observed in earlier direct large N computations.