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In this paper we study generic features of nonlocal charges obtained frommarginal deformations of WZNW models. Using free-fields representations of CFTsbased on simply laced Lie algebras, one can use simple arguments to build thenonlocal charges; but for more general Lie algebras these methods are notstrong enough to be generally used. We propose a brute force calculation wherethe nonlocality is associated to a new Lie algebra valued field, and from thisprescription 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.

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