Averaging over moduli in deformed WZW models

Averaging over moduli in deformed WZW models
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变形 WZW 模型中模量的平均

DOI:
10.1007/jhep09(2021)185
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发表时间:
2021
影响因子:
5.4
通讯作者:
Yikun Jiang
Yikun Jiang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Junkai Dong;Thomas Hartman;Yikun Jiang

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WZW models live on a moduli space parameterized by current-current deformations. The moduli space defines an ensemble of conformal field theories, which generically have N abelian conserved currents and central charge c > N. We calculate the average partition function and show that it can be interpreted as a sum over 3-manifolds. This suggests that the ensemble-averaged theory has a holographic dual, generalizing recent results on Narain CFTs. The bulk theory, at the perturbative level, is identified as U(1)2N Chern-Simons theory coupled to additional matter fields. From a mathematical perspective, our principal result is a Siegel-Weil formula for the characters of an affine Lie algebra.
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