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Abstract: We consider loop observables in gauged Wess-Zumino-Witten models, and studythe action of renormalization group flows on them. In the WZW model based on acompact Lie group G, we analyze at the classical level how the space ofrenormalizable defects is reduced upon the imposition of global and affinesymmetries. We identify families of loop observables which are invariant withrespect to an affine symmetry corresponding to a subgroup H of G, and show thatthey descend to gauge-invariant defects in the gauged model based on G-H. Westudy the flows acting on these families perturbatively, and quantize the fixedpoints of the flows exactly. From their action on boundary states, we present aderivation of the -generalized Affleck-Ludwig rule, which describes a largeclass of boundary renormalization group flows in rational conformal fieldtheories.



Autor: Costas Bachas, Samuel Monnier

Fuente: https://arxiv.org/







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