Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories

Abstract

In this letter we introduce a one-parameter deformation of two-dimensional quantum field theories generated by a non-analytic operator which we call Root-$T\overline{T}$. For a conformal field theory, the operator coincides with the square-root of the $T\overline{T}$ operator. More generally, the operator is defined so that classically it is marginal and generates a flow which commutes with the $T\overline{T}$-flow. Intriguingly, the Root-$T\overline{T}$ flow is closely related to the ModMax theory recently constructed by Bandos, Lechner, Sorokin and Townsend.

arXiv comment6 pages; LaTeX; references and note added

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• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Geometric formulation of generalized root-$T\bar{T}$ deformations
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