Comments on Non-invertible Symmetries in Argyres-Douglas Theories

Abstract: In this seminar I discuss the presence of non-invertible symmetries in an infinite family of superconformal Argyres-Douglas theories. This class of theories arises from diagonal gauging of the flavor symmetry of a collection of multiple copies of D_p(SU(N)) theories. The same set of theories that we study can also be realized from 6d N=(1,0) compactification on a torus. The main example in this class is the (A_2, D_4) theory, which bears the same structures of non-invertible duality and triality defects as those of N=4 super Yang-Mills with gauge algebra su(2). This result extends to infinitely many other Argyres-Douglas theories in the same family, including those with central charges a=c whose conformal manifold is one dimensional, and those with a\neq c whose conformal manifold has dimension larger than one. This conclusion is supported by examining certain special cases that can be realized in terms of theories of class S.

HEP - phenomenologyHEP - theorymathematical physicscategory theory

Audience: researchers in the topic

Symmetry Seminar

Series comments: Weekly seminar on generalized symmetries in QFT, string theory and related topics.