Averaging over moduli in deformed WZW models

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2021-09, Vol.2021 (9), p.1-34, Article 185
Main Authors: Dong, Junkai, Hartman, Thomas, Jiang, Yikun
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Chern-Simons Theories
Classical and Quantum Gravitation
Conformal Field Theory
Deformation
Elementary Particles
Field theory (physics)
Fourier transforms
Gravity
High energy physics
Lie groups
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract 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) 2 N 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2021)185