Argyres–Douglas theories, S ^{1} reductions, and topological symmetries
Abstract
In a recent paper, we proposed closedform expressions for the superconformal indices of the (A(1), A(2n3)) and(A(1), D2n) ArgyresDouglas (AD) superconformal field theories (SCFTs) in the Schur limit. Following up on our results, we turn our attention to the small S1 regime of these indices. As expected on general grounds, our study reproduces the S3 partition functions of the resulting dimensionally reduced theories. However, we show that in all caseswith the exception of the reduction of the (A(1), D4) SCFTcertain imaginary partners of real mass terms are turned on in the corresponding mirror theories. We interpret these deformations as R symmetry mixing with the topological symmetries of the direct S1 reductions. Moreover, we argue that these shifts occur in any of our theories whose fourdimensional N = 2 superconformal U(1)(R) symmetry does not obey an SU(2) quantization condition. We then use our R symmetry map to find the fourdimensional ancestors of certain threedimensional operators. Somewhat surprisingly, this picture turns out to imply that the scaling dimensions of many of the chiral operators of the fourdimensional theory are encoded in accidental symmetries of the threedimensional theory. We also comment on the implications of our work on the space of general Nmore »
 Authors:

 Rutgers Univ., Piscataway, NJ (United States)
 Publication Date:
 Research Org.:
 Rutgers Univ., Piscataway, NJ (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1437381
 Grant/Contract Number:
 SC0007897
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Physics. A, Mathematical and Theoretical
 Additional Journal Information:
 Journal Volume: 49; Journal Issue: 4; Journal ID: ISSN 17518113
 Publisher:
 IOP Publishing
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Buican, Matthew, and Nishinaka, Takahiro. Argyres–Douglas theories, S 1 reductions, and topological symmetries. United States: N. p., 2015.
Web. doi:10.1088/17518113/49/4/045401.
Buican, Matthew, & Nishinaka, Takahiro. Argyres–Douglas theories, S 1 reductions, and topological symmetries. United States. doi:10.1088/17518113/49/4/045401.
Buican, Matthew, and Nishinaka, Takahiro. Mon .
"Argyres–Douglas theories, S 1 reductions, and topological symmetries". United States. doi:10.1088/17518113/49/4/045401. https://www.osti.gov/servlets/purl/1437381.
@article{osti_1437381,
title = {Argyres–Douglas theories, S 1 reductions, and topological symmetries},
author = {Buican, Matthew and Nishinaka, Takahiro},
abstractNote = {In a recent paper, we proposed closedform expressions for the superconformal indices of the (A(1), A(2n3)) and(A(1), D2n) ArgyresDouglas (AD) superconformal field theories (SCFTs) in the Schur limit. Following up on our results, we turn our attention to the small S1 regime of these indices. As expected on general grounds, our study reproduces the S3 partition functions of the resulting dimensionally reduced theories. However, we show that in all caseswith the exception of the reduction of the (A(1), D4) SCFTcertain imaginary partners of real mass terms are turned on in the corresponding mirror theories. We interpret these deformations as R symmetry mixing with the topological symmetries of the direct S1 reductions. Moreover, we argue that these shifts occur in any of our theories whose fourdimensional N = 2 superconformal U(1)(R) symmetry does not obey an SU(2) quantization condition. We then use our R symmetry map to find the fourdimensional ancestors of certain threedimensional operators. Somewhat surprisingly, this picture turns out to imply that the scaling dimensions of many of the chiral operators of the fourdimensional theory are encoded in accidental symmetries of the threedimensional theory. We also comment on the implications of our work on the space of general N = 2 SCFTs.},
doi = {10.1088/17518113/49/4/045401},
journal = {Journal of Physics. A, Mathematical and Theoretical},
number = 4,
volume = 49,
place = {United States},
year = {2015},
month = {12}
}
Web of Science
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