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Marginal deformations of WZW models and the classical Yang-Baxter equation

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arxiv 1812.07287 v2 pith:L7XAUF2K submitted 2018-12-18 hep-th

classification hep-th
keywords deformationsmarginalyang-baxterclassicalequationmodelsappliedclassify
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We show how so-called Yang-Baxter (YB) deformations of sigma models, based on an R-matrix solving the classical Yang-Baxter equation (CYBE), give rise to marginal current-current deformations when applied to the Wess-Zumino-Witten (WZW) model. For non-compact groups these marginal deformations are more general than the ones usually considered, since they can involve a non-abelian current subalgebra. We classify such deformations of the AdS(3) x S(3) string.

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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. Double-Current Deformations of Two-Dimensional QFTs with Anomalies

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Extends double-current deformations to anomalous 2D QFTs via dynamical gauge and Stueckelberg couplings, producing an anomaly-preserving holonomy integral kernel that Gaussian-transforms the compact boson partition function.

  2. Symmetries and operators in $T\bar{T}$ deformed CFTs

    hep-th 2025-07 conditional novelty 5.0 of 10

    A new class of local physical operators is constructed in T-bar-deformed CFTs, and their two-point functions reproduce known string theory and field theory results.

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