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  • Letter
  • Open Access

Growth of the 116-BPS index in 4d N=4 supersymmetric Yang-Mills theory

Sameer Murthy*

  • Department of Mathematics, King’s College London, The Strand, London WC2R 2LS, United Kingdom

  • *Corresponding author. sameer.murthy@kcl.ac.uk
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Phys. Rev. D 105, L021903 – Published 11 January, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L021903

Abstract

We study the microcanonical superconformal index of 116-supersymmetric operators in 4d N=4 U(N) super Yang-Mills (SYM) theory. We show, numerically for N≤10, that the large-charge asymptotics are consistent with the entropy of supersymmetric black holes in the dual anti de Sitter space. We then prove, using representation theory, that the index agrees precisely with the multigraviton index, when the charge is less than 2(N+1), and begins to deviate for larger values of charge. Thus the U(N) SYM index interpolates between multigraviton values at small charges and black hole growth at large charges.

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Information

Phys. Rev. D 105, L021903– Published 11 January, 2022
  • Received 21 December 2020
  • Accepted 15 December 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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