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.
- 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}
}