On the superconformal index of Argyres–Douglas theories
015401 - 015401
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We conjecture a closed-form expression for the Schur limit of the superconformal index of two infinite series of Argyres-Douglas (AD) superconformal field theories (SCFTs): the (A1, A2n−3) and the (A1, D2n) theories. While these SCFTs can be realized at special points on the Coulomb branch of certain N = 2 gauge theories, their superconformal R symmetries are emergent, and hence their indices cannot be evaluated by localization. Instead, we construct the (A1, A2n−3) and (A1, D2n) indices by using a relation to two-dimensional qdeformed Yang-Mills theory and data from the class S construction. Our results generalize the indices derived from the torus partition functions of the two-dimensional chiral algebras associated with the (A1, A3) and (A1, D4) SCFTs. As checks of our conjectures, we study the consistency of our results with an S-duality recently discussed by us in collaboration with Giacomelli and Papageorgakis, we reproduce known Higgs branch relations, we check consistency with a series of renormalization group flows, and we verify that the small S 1 limits of our indices reproduce expected Cardy-like behavior. We will discuss the S 1 reduction of our indices in a separate paper.