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

Sameer Murthy

doi:10.1103/PhysRevD.105.L021903

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

Sameer Murthy^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Article number	L021903
Journal	Physical Review D
Volume	105
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.105.L021903
Publication status	Published - 15 Jan 2022

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

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.",

author = "Sameer Murthy",

note = "Funding Information: We would like to thank Prarit Agarwal, Dionysios Anninos, Alejandro Cabo-Bizet, Nikolay Gromov, Amihay Hanany, Juan Maldacena, Mukund Rangamani, and Don Zagier for useful discussions. This work is supported by the ERC Consolidator Grant No. 681908, “Quantum black holes: A microscopic window into the microstructure of gravity,” and by the STFC Grant No. ST/P000258/1. Publisher Copyright: {\textcopyright} 2022 authors. Published by the American Physical Society.",

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doi = "10.1103/PhysRevD.105.L021903",

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N2 - 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.

AB - 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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DO - 10.1103/PhysRevD.105.L021903

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

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