On the correspondence between surface operators in Argyres-Douglas theories and modules of chiral algebra

Abstract We compute the Schur index of Argyres-Douglas theories of type (A N −1,A M −1) with surface operators inserted, via the Higgsing prescription proposed by D. Gaiotto, L. Rastelli and S.S. Razamat. These surface operators are obtained by turning on position-dependent vacuum expectation values of operators in a UV theory which can flow to the Argyres-Douglas theories. We focus on two series of (A N −1, A M −1) theories; one with gcd(N, M) = 1 and the other with M = N (k − 1) for an integer k ≥ 2. Our results are identified with the characters of non-vacuum modules of the associated 2d chiral algebras, which explicitly confirms a remarkable correspondence recently discovered by C. Cordova, D. Gaiotto and S.-H. Shao.

Abstract licence: CC BY

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