Flow equations for generalised $T\bar{T}$ deformations

Abstract

We consider the most general set of integrable deformations extending the $T\bar{T}$ deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theory's factorised S-matrix related to the higher-spin conserved charges. Using a mirror version of the generalised Gibbs ensemble, we write down the finite-volume expectation value of the higher-spin charges, and derive a generalised flow equation that every charge must obey under a generalised $T\bar{T}$ deformation. This also reproduces the known flow equations on the nose.

6 pages, 1 figure; v2 misprint corrected, added references

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Cited by in corpus (22)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Gravity and $T\bar{T}$ flows in higher dimensions
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• Thermodynamic Bethe Ansatz past turning points: the (elliptic) sinh-Gordon model
• The Space of Integrable Systems from Generalised $T\bar{T}$-Deformations
• Topological Gauging and Double Current Deformations
• Exact finite volume expectation values of conserved currents
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• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Irrelevant Deformations with Boundaries and Defects
• Deterministic Chaos vs Integrable Models
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• On Factorizable S-matrices, Generalized TTbar, and the Hagedorn Transition
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• Arcsine laws for Brownian motion with Poissonian resetting
• Deforming integrable models of AdS${}_3$ strings
• Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory