AdS3 gravity and RCFT ensembles with multiple invariants

AdS3 gravity and RCFT ensembles with multiple invariants
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具有多个不变量的 AdS3 重力和 RCFT 系综

DOI:
10.1007/jhep08(2021)098
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发表时间:
2021
影响因子:
5.4
通讯作者:
S. Mukhi
S. Mukhi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Viraj Meruliya;S. Mukhi

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我们使用庞加莱级数方法来计算重力配分函数与SU(N)1 WZW模型与任意大数目的模不变量。结果是这些不变量的平均值,权重通过反转大小为不变量数量级的矩阵给出。对于所选的模型,这个矩阵采用一种特殊的形式,允许我们将其反转为任意大小,从而显式地计算这个平均值的权重。对于身份种子,我们发现权重对于所有N都是正的,这与每个模型都是CFT上的集合平均的对偶一致。
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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