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• W2801046146 abstract "Two-dimensional $sigma$-models corresponding to coset CFTs of the type $ (hat{mathfrak{g}}_koplus 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." @default.
• W2801046146 created "2018-05-17" @default.
• W2801046146 creator A5026463976 @default.
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• W2801046146 date "2018-09-01" @default.
• W2801046146 modified "2023-09-27" @default.
• W2801046146 title "Non-Abelian T-duality and modular invariance" @default.
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• W2801046146 doi "https://doi.org/10.1016/j.nuclphysb.2018.07.017" @default.
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