Abstract
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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Song, J. Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT. J. High Energ. Phys. 2016, 45 (2016). https://doi.org/10.1007/JHEP02(2016)045
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DOI: https://doi.org/10.1007/JHEP02(2016)045