On the superconformal index of Argyres–Douglas theories

By Matthew Buican, Takahiro Nishinaka. 2015

176 citations recorded by the source corpus.

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 ( A 1 , A 2 n − 3 ) ?> and the ( A 1 , D 2 n ) ?> theories. While these SCFTs can be realized at special points on the Coulomb branch of certain  = 2 ?> gauge theories, their superconformal R symmetries are emergent, and hence their indices cannot be evaluated by localization. Instead, we construct the ( A 1 , A 2 n − 3 ) ?> and ( A 1 , D 2 n ) ?> indices by using a relation to two-dimensional q-deformed Yang–Mills theory and data from the class  ?> construction. Our results generalize the indices derived from the torus partition functions of the two-dimensional chiral algebras associated with the ( A 1 , A 3 ) ?> and ( A 1 , D 4 ) ?> 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 S1 limits of our indices reproduce expected Cardy-like behavior. We will discuss the S1 reduction of our indices in a separate paper.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0b3e6fdf2e94530d524911603aff5d2197635fa5

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Citations in the corpus

N=1 Deformations and RG Flows of N=2 SCFTs (2016, methodology): “One observation is that our formula obtained from the gauge theory seems to be very different from the ones obtained in [49, 51, 52], motivated from the M5-brane realization of the Argyres-Douglas theory [8].”
Schur indices, BPS particles, and Argyres-Douglas theories (2015, methodology): “This exactly matches the expansion of the vacuum character of ŜU(3)− 3 2 , which can be computed using the Kac-Wakimoto formula [51] (see [39] for the explicit q-expansion).”
Vertex operator algebras, Higgs branches, and modular differential equations (2017, background): “The match has been extended to the level of the Schur index/vacuum character in [11, 25].”