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Talk-Title: A 2-dimensional random supersymmetric model with disorder

Jeff Murugan
(UCT Dept. of Mathematics & Applied Maths)                                                                                                                

Abstract: I discuss a recently proposed extension of a 4-fermion quantum mechanics with quenched disorder (aka the Sachdev-Ye-Kitaev model) to two dimensions. Although models built entirely from bosons appear to be problematic, I will show that there exists a stable supersymmetric model that flows to a large N conformal field theory with interaction strength of order one. I will show also how the shadow formalism for CFTs can be used to derive an integral formula for the four-point function at order 1/N, and use it to compute the central charge, chaos exponent and some anomalous dimensions. Finally, I will describe some pitfalls of trying to describe 

2d SYK-like CFT's with a continuous global symmetry. This talk will be based on https://arxiv.org/abs/1706.05362 

 

Date: 
Friday, August 25, 2017 - 12:30
Venue: 

Duncan Elliot Seminar Room
RW James Building