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Charging the superconformal index

Zwiebel, Benjamin I. (2012) Charging the superconformal index. Journal of High Energy Physics, 2012 (1). Art. No. 116. ISSN 1126-6708. doi:10.1007/JHEP01(2012)116.

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The superconformal index is an important invariant of superconformal field theories. In this note we refine the superconformal index by inserting the charge conjugation operator C. We construct a matrix integral for this charged index for N = 4 SYM with SU(N) gauge group. The key ingredient for the construction is a “charged character”, which reduces to Tr(C) for singlet representations of the gauge group. For each irreducible real SU(N ) representation, we conjecture that this charged character is equal to the standard character for a corresponding representation of SO(N + 1) or SP(N − 1), for N even or odd respectively. The matrix integral for the charged index passes tests for small N and for N → ∞. Like the ordinary superconformal index, for N = 4 SYM the charged index is independent of N in the large-N limit.

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Additional Information:© 2012 SISSA. Published for SISSA by Springer. Received: November 11, 2011. Accepted: December 28, 2011. Published: January 24, 2012. I would like to thank Ofer Aharony, Abhijit Gadde, Christoph Keller, and Vyacheslav Spiridonov for helpful comments. The research of the author was supported by a Lee A. DuBridge Postdoctoral Fellowship of the California Institute of Technology. In addition, this work is supported in part by the DOE grant DE-FG03-92-ER40701.
Group:Caltech Theory
Funding AgencyGrant Number
Lee A. DuBridge FellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG03-92-ER40701
Subject Keywords:Supersymmetric gauge theory; Supersymmetry and Duality; Discrete and Finite Symmetries
Issue or Number:1
Record Number:CaltechAUTHORS:20120412-084628807
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:30064
Deposited By: Tony Diaz
Deposited On:17 Apr 2012 20:35
Last Modified:09 Nov 2021 19:35

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