The holographic landscape of symmetric product orbifolds

Alexandre Belin, Alejandra Castro, Christoph A. Keller, Beatrix Mühlmann

Research output: Contribution to journalArticle

Abstract

We investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. We find that this landscape decomposes into two regions. In one region, the growth of the low energy states is Hagedorn, which indicates a stringy dual. In the other, the growth is much slower, and compatible with the spectrum of a supergravity theory on AdS3. We provide a simple diagnostic which places any symmetric product orbifold in either region. We construct a class of elliptic genera with such supergravity-like growth, indicating the possible existence of new realizations of AdS3/CFT2 where the bulk is a semi-classical supergravity theory. In such cases, we give exact expressions for the BPS degeneracies, which could be matched with the spectrum of perturbative states in a dual supergravity description.

Original languageEnglish (US)
Article number111
JournalJournal of High Energy Physics
Volume2020
Issue number1
DOIs
StatePublished - Jan 1 2020

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Keywords

  • AdS-CFT Correspondence
  • Black Holes in String Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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