Averaging over moduli in deformed WZW models
In: Journal of High Energy Physics ; volume 2021, issue 9 ; ISSN 1029-8479, 2021
academicJournal
Zugriff:
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.
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Averaging over moduli in deformed WZW models
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Autor/in / Beteiligte Person: | Dong, Junkai ; Hartman, Thomas ; Jiang, Yikun |
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Zeitschrift: | Journal of High Energy Physics ; volume 2021, issue 9 ; ISSN 1029-8479, 2021 |
Veröffentlichung: | Springer Science and Business Media LLC, 2021 |
Medientyp: | academicJournal |
DOI: | 10.1007/jhep09(2021)185 |
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