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$T\overline{T}$ Deformation: Introduction and Some Recent Advances

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arxiv 2503.09997 v2 pith:BGKM5JU3 submitted 2025-03-13 hep-th gr-qcmath-phmath.MP

classification hep-thgr-qcmath-phmath.MP
keywords deformationtheoryholographyquantumrecentadvancesaspectsdevelopments
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

This review explores recent advances in the theory of $T\bar{T}$ deformation, an irrelevant yet solvable deformation of quantum field theories defined via the quadratic form of the energy-momentum tensor. It addresses classical and quantum aspects, highlighting significant developments across various fields, including field theory, holography, and string theory. Classically, $T\bar{T}$ deformation manifests through multiple geometric interpretations, notably random geometry, Jackiw-Teitelboim-like gravity, and uniform light-cone gauge frameworks. For quantum aspects, the deformation introduces notable features such as non-locality, UV-IR mixing, solvable renormalization structures, and intriguing modifications to correlation functions and entanglement properties. Furthermore, the paper examines the profound relationship between $T\bar{T}$ deformation and holography, particularly within the mixed boundary conditions/cutoff AdS holography proposal and holographic entanglement entropy. Connections to string theory through single-trace deformations and their holographic duals further reveal the deformed structure of the worldsheet. This review synthesizes recent developments and outlines potential directions for future research in the study of $T\bar{T}$-like deformation.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...

  2. Holography with Null Boundaries

    hep-th 2025-06 conditional novelty 7.0 of 10

    D1-D5-F1 string theory in a non-commutative decoupling limit yields a holographic correspondence for spacetimes with a null boundary, interpolating between AdS3 and a six-dimensional asymptotic metric.

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

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    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 orbifold...

  4. Soliton Surfaces and the Geometry of Integrable Deformations of the $\mathbb{CP}^{N-1}$ Model

    hep-th 2025-09 conditional novelty 6.0 of 10

    Instanton solutions with vanishing energy-momentum tensor remain solutions under analytic TTbar-like deformations, and the deformed CP^{N-1} model is equivalent to the undeformed model on a field-dependent unit-determ...

  5. $T\bar{T}$-deformed correlators from a 2D gravity description

    hep-th 2025-07 conditional novelty 6.0 of 10

    Using a massive gravity formulation, the paper derives all-order leading-logarithmic T-bar-T corrections to two- and three-point CFT correlators, reproducing the known two-point result and obtaining a new closed form ...

  6. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  7. Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation

    hep-th 2025-05 conditional novelty 6.0 of 10

    For T\bar{T}-deformed BTZ black holes, the butterfly velocity is v_B = sqrt(1 - 8π² μ/β²), exceeding the Mezei-Stanford bound for μ<0 while the Lyapunov exponent stays at the maximal value 2π/β.

  8. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

  9. Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models

    hep-th 2025-07 conditional novelty 5.0 of 10

    A single generating function encodes both 4D self-dual nonlinear electrodynamics and 2D integrable sigma models, and newly defined gamma flows preserve the root-T Tbar equation across generalized Born-Infeld, logarith...

  10. Symmetries and operators in $T\bar{T}$ deformed CFTs

    hep-th 2025-07 conditional novelty 5.0 of 10

    A new class of local physical operators is constructed in T-bar-deformed CFTs, and their two-point functions reproduce known string theory and field theory results.

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