Siegel paramodular forms and sparseness in AdS3/CFT2

Alexandre Belin; Alejandra Castro; João Gomes; Christoph A. Keller

doi:10.1007/JHEP11(2018)037

Siegel paramodular forms and sparseness in AdS₃/CFT₂

Alexandre Belin, Alejandra Castro, João Gomes, Christoph A. Keller

Mathematics

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

10 Scopus citations

Abstract

We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analytic counting formulas for their polar states. The first example reproduces the known result for type IIB supergravity on AdS₃ ×S³ ×K3, whereas the other four examples give new counting formulas. Their crucial feature is that the low energy spectrum is very sparse, which suggests the existence of a suitable dual supergravity theory. These examples open a path to novel realizations of AdS₃/CFT₂.

Original language	English (US)
Article number	37
Journal	Journal of High Energy Physics
Volume	2018
Issue number	11
DOIs	https://doi.org/10.1007/JHEP11(2018)037
State	Published - Nov 1 2018

Keywords

1/N Expansion
AdS-CFT Correspondence

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP11(2018)037

Cite this

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title = "Siegel paramodular forms and sparseness in AdS3/CFT2 ",

abstract = "We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analytic counting formulas for their polar states. The first example reproduces the known result for type IIB supergravity on AdS3 ×S3 ×K3, whereas the other four examples give new counting formulas. Their crucial feature is that the low energy spectrum is very sparse, which suggests the existence of a suitable dual supergravity theory. These examples open a path to novel realizations of AdS3/CFT2.",

keywords = "1/N Expansion, AdS-CFT Correspondence",

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AU - Belin, Alexandre

AU - Castro, Alejandra

AU - Gomes, João

AU - Keller, Christoph A.

PY - 2018/11/1

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N2 - We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analytic counting formulas for their polar states. The first example reproduces the known result for type IIB supergravity on AdS3 ×S3 ×K3, whereas the other four examples give new counting formulas. Their crucial feature is that the low energy spectrum is very sparse, which suggests the existence of a suitable dual supergravity theory. These examples open a path to novel realizations of AdS3/CFT2.

AB - We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analytic counting formulas for their polar states. The first example reproduces the known result for type IIB supergravity on AdS3 ×S3 ×K3, whereas the other four examples give new counting formulas. Their crucial feature is that the low energy spectrum is very sparse, which suggests the existence of a suitable dual supergravity theory. These examples open a path to novel realizations of AdS3/CFT2.

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KW - AdS-CFT Correspondence

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