Journal
NUCLEAR PHYSICS B
Volume 914, Issue -, Pages 623-641Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2016.11.022
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Funding
- Germaine de Stael Franco-Swiss bilateral program [32753SG]
- TH-Unit at CERN
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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. (C) 2016 The Authors. Published by Elsevier B.V.
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