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Solving a family of $T\bar{T}$-like theories

· 2019 · hep-th · arXiv 1903.07606

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abstract

We deform two-dimensional quantum field theories by antisymmetric combinations of their conserved currents that generalize Smirnov and Zamolodchikov's $T\bar{T}$ deformation. We obtain that energy levels on a circle obey a transport equation analogous to the Burgers equation found in the $T\bar{T}$ case. This equation relates charges at any value of the deformation parameter to charges in the presence of a (generalized) Wilson line. We determine the initial data and solve the transport equations for antisymmetric combinations of flavor symmetry currents and the stress tensor starting from conformal field theories. Among the theories we solve is a conformal field theory deformed by $J\bar{T}$ and $T\bar{T}$ simultaneously. We check our answer against results from AdS/CFT.

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hep-th 2

years

2026 1 2025 1

verdicts

ACCEPT 1 UNVERDICTED 1

representative citing papers

Deformed BTZ Radiance and Single Trace $T\bar{T}$ Holography

hep-th · 2026-06-24 · accept · novelty 6.0

Long-string emission from rotating λ-deformed BTZ black holes forces a unique origin B-field that matches the value needed for the string spectrum to agree with the Z_w sector of single-trace T T-bar deformed orbifolds, with emission rates universally set by ΔS_BH.

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Showing 2 of 2 citing papers.

  • Deformed BTZ Radiance and Single Trace $T\bar{T}$ Holography hep-th · 2026-06-24 · accept · none · ref 20 · internal anchor

    Long-string emission from rotating λ-deformed BTZ black holes forces a unique origin B-field that matches the value needed for the string spectrum to agree with the Z_w sector of single-trace T T-bar deformed orbifolds, with emission rates universally set by ΔS_BH.

  • Integrability in Three-Dimensional Gravity: Eigenfunction-Forced KdV Flows hep-th · 2025-10-12 · unverdicted · none · ref 77 · internal anchor

    Derives forced KdV equation from Chern-Simons 3D gravity with chiral boundaries, with forcing set by Schrödinger eigenfunctions, and solves reflectionless and radiative sectors via inverse scattering.