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• W1589287971 endingPage "045401" @default.
• W1589287971 startingPage "045401" @default.
• W1589287971 abstract "In a recent paper, we proposed closed-form expressions for the superconformal indices of the and Argyres–Douglas (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 cases—with the exception of the reduction of the SCFT—certain 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 four-dimensional superconformal symmetry does not obey an SU(2) quantization condition. We then use our R symmetry map to find the four-dimensional 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 SCFTs." @default.
• W1589287971 created "2016-06-24" @default.
• W1589287971 creator A5020419531 @default.
• W1589287971 creator A5076703255 @default.
• W1589287971 date "2015-12-21" @default.
• W1589287971 modified "2023-09-26" @default.
• W1589287971 title "Argyres–Douglas theories,<i>S</i>¹reductions, and topological symmetries" @default.
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• W1589287971 doi "https://doi.org/10.1088/1751-8113/49/4/045401" @default.
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