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

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arxiv 1610.05314 v3 pith:XKL2G565 submitted 2016-10-17 hep-th math-phmath.MPnlin.SI

George Georgiou , Konstantinos Sfetsos , Konstantinos Siampos This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.SI
keywords currentfixedlambdaoperatorspointtheoriesalgebraall-loop
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Abelian Thirring model at large $N$

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the large-c_G 't Hooft limit of the bosonized non-Abelian Thirring model, the beta function is β_λ̃ = -λ̃²/2 to quartic order, so no additional 1/N fixed point exists.

  2. Type-II backgrounds from deformed coset CFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    Type-IIA and IIB supergravity backgrounds are constructed explicitly from λ-deformed cosets SO(4)/SO(3), SO(5)/SO(4), and SO(1,4)/SO(4), with reality conditions bounding the deformation parameter.

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