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Boundary entropy of integrable perturbed $SU(2)_k$ WZNW

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arxiv 1906.01909 v1 pith:TPLHCXYD submitted 2019-06-05 hep-th cond-mat.stat-mech

Ivan Kostov , Didina Serban , Dinh-Long Vu This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords boundaryentropywznwcaseintegrablemodelnon-diagonalscattering
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abstract

We apply the recently developped analytical methods for computing the boundary entropy, or the g-function, in integrable theories with non-diagonal scattering. We consider the particular case of the current-perturbed $SU(2)_k$ WZNW model with boundary and compute the boundary entropy for a specific boundary condition. The main problem we encounter is that in case of non-diagonal scattering the boundary entropy is infinite. We show that this infinity can be cured by a subtraction. The difference of the boundary entropies in the UV and in the IR limits is finite, and matches the known g-functions for the unperturbed $SU(2)_k$ WZNW model for even values of the level.

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    The exact g-function of sine-Gordon theory with non-diagonal scattering is computed for the first time using lattice regularization and Bethe ansatz.

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