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

Song, Jaewon

doi:10.1007/JHEP02(2016)045

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

Journal Article · Fri Feb 05 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2016)045· OSTI ID:1327262

Song, Jaewon ^[1]

Univ. of California, San Diego, CA (United States). Department of Physics; University of California, San Diego

We present superconformal indices of 4d 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 simplifi ed 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. From the index, we argue that certain short-multiplet which can appear in the OPE of the stress-energy tensor is absent in the (A₁,A_2n) theory. In addition, we discuss the mixed Schur indices for the N = 1 class S theories with irregular punctures.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1327262

Alternate ID(s):: OSTI ID: 22587885

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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