$T\bar{T}$-deformations in closed form

Abstract

We consider the problem of exact integration of the $T\bar{T}$-deformation of two dimensional quantum field theories, as well as some higher dimensional extensions in the form of $\det T$-deformations. When the action can be shown to only depend algebraically on the background metric the solution of the deformation equation on the Lagrangian can be given in closed form in terms of solutions of the (extended) Burgers' equation. We present such examples in two and higher dimensions.

19+1 pages, LaTeX

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Cited by in corpus (117)

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• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• $T\bar{T}$ Deformations, Massive Gravity and Non-Critical Strings
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• Supersymmetry and $T\overline{T}$ Deformations
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• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• Sphere partition functions and cut-off AdS
• TsT, $T\bar{T}$ and black strings
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
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• $T\bar{T}$ Flows and (2,2) Supersymmetry
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• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
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• Holographic Entanglement Entropy in Cutoff AdS
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• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
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• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
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• Non-relativistic duality and $T\bar{T}$ deformations
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• Surface/State correspondence and $T\overline{T}$ deformation
• Finite Cutoff AdS${}_5$ Holography and the Generalized Gradient Flow
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• $T\bar{T}$ Deformation and the Complexity=Volume Conjecture
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• Sequential Flows by Irrelevant Operators
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• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Geometrizing non-relativistic bilinear deformations
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
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• Matrix Theory Reloaded: A BPS Road to Holography
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
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• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Confining Strings, Infinite Statistics and Integrability
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• Composite operators in $T\bar{T}$-deformed free QFTs
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
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• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
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• Geometric realization of stress-tensor deformed field theory
• $T\bar{T}$ deformations and the pp wave correspondence
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
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• On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
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• Exact summation of leading logs around $T\bar{T}$ deformation of $O(N+1)$-symmetric 2D QFTs