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arXiv · 1801.10174

RG flows for $λ$-deformed CFTs

Eftychia Sagkrioti·Konstantinos Sfetsos·Konstantinos Siampos
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Abstract

We study the renormalization group equations of the fully anisotropic $λ$-deformed CFTs involving the direct product of two current algebras at different levels $k_{1,2}$ for general semi-simple groups. The exact, in the deformation parameters, $β$-function is found via the effective action of the quantum fluctuations around a classical background as well as from gravitational techniques. Furthermore, agreement with known results for symmetric couplings and/or for equal levels, is demonstrated. We study in detail the two coupling case arising by splitting the group into a subgroup and the corresponding coset manifold which consistency requires to be either a symmetric-space one or a non-symmetric Einstein-space.

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Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos. 2018-05-15. RG flows for $λ$-deformed CFTs. https://doi.org/10.1016/j.nuclphysb.2018.03.013

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