Siegel Paramodular Forms and Sparseness in AdS3/CFT2

Wednesday, 23 May, 2018

Published in: 

arXiv:1805.09336

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 AdS_3\times S^3\times 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 AdS_3/CFT_2.

Author(s): 

Alexandre Belin
Alejandra Castro
Joao Gomes
Christoph A. Keller