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 journalArticlepeer-review

5 Citations (Scopus)


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 languageEnglish
Article numberL021903
JournalPhysical Review D
Issue number2
Publication statusPublished - 15 Jan 2022


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