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Title: Argyres–Douglas theories, S 1 reductions, and topological symmetries

Abstract

In a recent paper, we proposed closed-form expressions for the superconformal indices of the (A(1), A(2n-3)) and(A(1), D-2n) Argyres-Douglas (AD) superconformal field theories (SCFTs) in the Schur limit. Following up on our results, we turn our attention to the small S-1 regime of these indices. As expected on general grounds, our study reproduces the S-3 partition functions of the resulting dimensionally reduced theories. However, we show that in all cases-with the exception of the reduction of the (A(1), D-4) 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 S-1 reductions. Moreover, we argue that these shifts occur in any of our theories whose four-dimensional 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 three-dimensional operators. Somewhat surprisingly, this picture turns out to imply that the scaling dimensions of many of the chiral operators of the four-dimensional theory are encoded in accidental symmetries of the three-dimensional theory. We also comment on the implications of our work on the space of general Nmore » = 2 SCFTs.« less

Authors:
 [1];  [1]
  1. 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 1751-8113
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:10.1088/1751-8113/49/4/045401.
Buican, Matthew, & Nishinaka, Takahiro. Argyres–Douglas theories, S 1 reductions, and topological symmetries. United States. doi:10.1088/1751-8113/49/4/045401.
Buican, Matthew, and Nishinaka, Takahiro. Mon . "Argyres–Douglas theories, S 1 reductions, and topological symmetries". United States. doi:10.1088/1751-8113/49/4/045401. 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 closed-form expressions for the superconformal indices of the (A(1), A(2n-3)) and(A(1), D-2n) Argyres-Douglas (AD) superconformal field theories (SCFTs) in the Schur limit. Following up on our results, we turn our attention to the small S-1 regime of these indices. As expected on general grounds, our study reproduces the S-3 partition functions of the resulting dimensionally reduced theories. However, we show that in all cases-with the exception of the reduction of the (A(1), D-4) 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 S-1 reductions. Moreover, we argue that these shifts occur in any of our theories whose four-dimensional 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 three-dimensional operators. Somewhat surprisingly, this picture turns out to imply that the scaling dimensions of many of the chiral operators of the four-dimensional theory are encoded in accidental symmetries of the three-dimensional theory. We also comment on the implications of our work on the space of general N = 2 SCFTs.},
doi = {10.1088/1751-8113/49/4/045401},
journal = {Journal of Physics. A, Mathematical and Theoretical},
number = 4,
volume = 49,
place = {United States},
year = {2015},
month = {12}
}

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