# Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT

Journal of High Energy Physics, Feb 2016

We study superconformal indices of 4d $$\mathcal{N}=2$$ class S theories with certain irregular punctures called type I k,N . This class of theories include generalized Argyres-Douglas theories of type (A k−1 , A N −1) and more. We conjecture the superconformal indices in certain simplified limits based on the TQFT structure of the class S theories by writing an expression for the wave function corresponding to the puncture I k,N . We write the Schur limit of the wave function when k and N are coprime. When k = 2, we also conjecture a closed-form expression for the Hall-Littlewood index and the Macdonald index for odd N. Fromtheindex,wearguethatcertainshort-multipletwhichcanappearintheOPEof the stress-energy tensor is absent in the (A 1 , A 2n ) theory. We also discuss the mixed Schur indices for the $$\mathcal{N}=1$$ class $$\mathcal{S}$$ theories with irregular punctures.

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Jaewon Song. Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT, Journal of High Energy Physics, 2016, 45, DOI: 10.1007/JHEP02(2016)045