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arXiv · 1909.08149

Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T \bar T$, $T \bar J$ and Yang-Baxter deformations

Thiago Araujo
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Abstract

In this paper we study generic features of nonlocal charges obtained from marginal deformations of WZNW models. Using free-fields representations of CFTs based on simply laced Lie algebras, one can use simple arguments to build the nonlocal charges; but for more general Lie algebras these methods are not strong enough to be generally used. We propose a brute force calculation where the nonlocality is associated to a new Lie algebra valued field, and from this prescription we impose several constraints on the algebra of nonlocal charges. Possible applications for Yang-Baxter and holographic \(T\bar{T}\) and \(T\bar{J}\) deformations are also discussed.

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Thiago Araujo. 2019-09-17. Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T \bar T$, $T \bar J$ and Yang-Baxter deformations. https://doi.org/10.1103/physrevd.101.025008

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