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.

Belin, A., Castro, A., Gomes, J., Keller, C. (2018). Siegel paramodular forms and sparseness in AdS3/CFT2. JOURNAL OF HIGH ENERGY PHYSICS, 2018(11) [10.1007/JHEP11(2018)037].

Siegel paramodular forms and sparseness in AdS3/CFT2

Belin A;
2018

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.
Articolo in rivista - Articolo scientifico
1/N Expansion; AdS-CFT Correspondence;
English
2018
2018
11
37
open
Belin, A., Castro, A., Gomes, J., Keller, C. (2018). Siegel paramodular forms and sparseness in AdS3/CFT2. JOURNAL OF HIGH ENERGY PHYSICS, 2018(11) [10.1007/JHEP11(2018)037].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396349
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