$\lambda$-deformations of left-right asymmetric CFTs

Abstract

We compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories, unlike their equal level counterparts, possess a new non-trivial fixed point in the IR. By computing the exact in $\lambda$ two- and three-point functions for these operators we deduce their OPEs and their equal-time commutators. Using these we argue on the nature of the CFT at the IR fixed point. The associated to the currents Poisson brackets are a two-parameter deformation of the canonical structure of the isotropic PCM.

1+27 pages, Latex, v2: Correcting a typo in Eqs. (3.1), (3.2), v3: Correcting a typo in Eq.(2.20)

References in corpus (4)

• An Integrable Deformation of the AdS5 x S5 Superstring
• Spacetimes for λ-deformations
• The all-loop non-Abelian Thirring model and its RG flow
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset

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