Boundary entropy of integrable perturbed SU (2)k WZNW
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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.
KeywordsBethe Ansatz Boundary Quantum Field Theory Integrable Field Theories
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- I. Kostov, D. Serban and D.-L. Vu. Boundary TBA, trees and loops, (2018).Google Scholar
- A.B. Zamolodchikov, TBA equations for integrable perturbed SU (2)-k x SU (2)-l/SU (2)-k+ l coset models, Nucl. Phys.B 366 (1991) 122 [INSPIRE].
- P. Fendley, Integrable sigma models, Proceedings of the APCTP Winter School, March 2000, pp. 108-178.Google Scholar