AdS3 gravity and RCFT ensembles with multiple invariants

被引:0
作者
Viraj Meruliya
Sunil Mukhi
机构
[1] Indian Institute of Science Education and Research,
来源
Journal of High Energy Physics | / 2021卷
关键词
AdS-CFT Correspondence; Conformal Field Theory; Models of Quantum Gravity; Chern-Simons Theories;
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摘要
We use the Poincaré series method to compute gravity partition functions associated to SU(N)1 WZW models with arbitrarily large numbers of modular invariants. The result is an average over these invariants, with the weights being given by inverting a matrix whose size is of order the number of invariants. For the chosen models, this matrix takes a special form that allows us to invert it for arbitrary size and thereby explicitly calculate the weights of this average. For the identity seed we find that the weights are positive for all N, consistent with each model being dual to an ensemble average over CFT’s.
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