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

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 (A 1,A 2n) theory. In addition, we discuss the mixed Schur indices for the N = 1 class S theories with irregular punctures.
Authors:
 [1]
  1. Univ. of California, San Diego, CA (United States). Department of Physics
Publication Date:
Grant/Contract Number:
SC0009919
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of California, San Diego, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Supersymmetric gauge theory; Supersymmetry and Duality; Topological Field Theories
OSTI Identifier:
1327262

Song, Jaewon. Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT. United States: N. p., Web. doi:10.1007/JHEP02(2016)045.
Song, Jaewon. Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT. United States. doi:10.1007/JHEP02(2016)045.
Song, Jaewon. 2016. "Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT". United States. doi:10.1007/JHEP02(2016)045. https://www.osti.gov/servlets/purl/1327262.
@article{osti_1327262,
title = {Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT},
author = {Song, Jaewon},
abstractNote = {We present superconformal indices of 4d N = 2 class S theories with certain irregular punctures called type Ik,N. This class of theories include generalized Argyres-Douglas theories of type (Ak-1, AN-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 Ik,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,A2n) theory. In addition, we discuss the mixed Schur indices for the N = 1 class S theories with irregular punctures.},
doi = {10.1007/JHEP02(2016)045},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2016,
place = {United States},
year = {2016},
month = {2}
}