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

Takahiro Nishinaka, Shinya Sasa, Rui-Dong Zhu
2019 Journal of High Energy Physics  
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. For these two
more » ... series of Argyres-Douglas theories, our results are identical to 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.
doi:10.1007/jhep03(2019)091 fatcat:pxwmnokbdfebdh2opzaoidgrmq