Abstract
We compute the Schur index of Argyres-Douglas theories of type (AN −1,AM −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 (AN −1, AM −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.
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Nishinaka, T., Sasa, S. & Zhu, RD. On the correspondence between surface operators in Argyres-Douglas theories and modules of chiral algebra. J. High Energ. Phys. 2019, 91 (2019). https://doi.org/10.1007/JHEP03(2019)091
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DOI: https://doi.org/10.1007/JHEP03(2019)091