Non-Abelian T-duality and modular invariance
In: Nuclear Physics B, Jg. 934 (2018-09-01), S. 498-520
Online
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Zugriff:
Two-dimensional $\sigma$-models corresponding to coset CFTs of the type $ (\hat{\mathfrak{g}}_k\oplus \hat{\mathfrak{h}}_\ell )/ \hat{\mathfrak{h}}_{k+\ell}$ admit a zoom-in limit involving sending one of the levels, say $\ell$, to infinity. The result is the non-Abelian T-dual of the WZW model for the algebra $\hat{\mathfrak{g}}_k$ with respect to the vector action of the subalgebra $\mathfrak{h}$ of $ \mathfrak{g}$. We examine modular invariant partition functions in this context. Focusing on the case with $\mathfrak{g}=\mathfrak{h}=\mathfrak{su}(2)$ we apply the above limit to the branching functions and modular invariant partition function of the coset CFT, which as a whole is a delicate procedure. Our main concrete result is that such a limit is well defined and the resulting partition function is modular invariant.
Comment: 33 pages, this version published in Nuclear Physics B
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Non-Abelian T-duality and modular invariance
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Autor/in / Beteiligte Person: | Manolopoulos, Dimitrios ; Fraser, Benjo ; Sfetsos, Konstantinos |
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Zeitschrift: | Nuclear Physics B, Jg. 934 (2018-09-01), S. 498-520 |
Veröffentlichung: | Elsevier, 2018 |
Medientyp: | unknown |
ISSN: | 0550-3213 (print) |
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