☆ 4.5 Review

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory

COMMUNICATIONS IN THEORETICAL PHYSICS (2021)

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Irrelevant deformations of chiral bosons

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Summary: The study examines the TT deformations of chiral bosons and chiral fermions using the formalism developed by Sen. It is found that the TT-deformed Lagrangian can be computed in closed form for arbitrary numbers of left- and right-chiral bosons, resulting in a novel non-local action in Sen's formalism. The stress tensor of the TT-deformed free fermion is shown to coincide with the undeformed seed theory, with the behavior explained by the purely topological nature of the deformation term in the action. This observation also clarifies why the TT deformation of multiple free fermions truncates at linear order.

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Maximally supersymmetric RG flows in 4D and integrability

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Summary: The article revisits the leading irrelevant deformation of the N = 4 Super Yang-Mills theory and investigates the integrability of the spin-chain Hamiltonian in planar perturbation theory. While there are indications that a suitable deformation might preserve integrability, the two-loop calculation conducted by the authors did not settle this question. Accidental symmetry enhancement led to the recovery of the integrable Hamiltonian of undeformed N = 4 SYM up to this order.

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T(T)over-bar-Deformed Conformal Field Theories out of Equilibrium

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Summary: This study examines the out-of-equilibrium transport in T(T) over bar -deformed (1 + 1)-dimensional conformal field theories, utilizing integrability and holography to compute transport quantities. The results from both methods are in perfect agreement, confirming the T(T) over bar -deformed holographic correspondence. Additionally, integrability allows for the computation of momentum diffusion, revealing a universal formula and an intriguing connection to reversible cellular automata within T(T) over bar -deformed CFTs.

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Penrose limit for holographic duals of JT over bar deformations

Dibakar Roychowdhury

Summary: In this study, bosonic string sigma models on warped BTZ x S-3 were explored both within and beyond the plane wave limit. By using the light cone gauge and conformal gauge, the corresponding Hamiltonian and spectrum associated with the pp wave strings were obtained, revealing a constant shift and corrections due to TsT transformations along the isometries of the target space manifold. The energy positivity constraint on the CFT2 spectrum was imposed to estimate an upper bound on the shift, and it was found that the spectra obtained using both approaches were identical, demonstrating equivalence.

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Conformal boundary conditions from cutoff AdS3

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Summary: The passage discusses a specific flow constructed in the space of 2D Euclidean QFTs, which is argued to be dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions. This new flow originates from a Legendre transform of the kernel implementing the T(T) over bar deformation. The equivalence between the flow equation and variants of the Wheeler de-Witt equation for a torus universe in the Constant Mean Curvature (CMC) slicing is demonstrated.

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T(T)over-bar/J(T)over-bar-deformed WZW models from Chern-Simons AdS3 gravity with mixed boundary conditions

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Summary: In this work, mixed boundary conditions in AdS(3) gravitational theory are considered, leading to nontrivial boundary terms and providing the spectrum of T (T) over bar /J (T) over bar -deformed CFTs. By using the Chern-Simons formalism of AdS(3) gravity, the constrained T (T) over bar -deformed Wess-Zumino-Witten (WZW) model is derived, which is shown to be the T (T) over bar -deformed Alekseev-Shatashvili action after disentangling the constraints. Additionally, a J (T) over bar -deformed WZW model is obtained by adding a U(1) gauge field associated to the current J, and its action can also be constructed from the gravity side.

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Thermal transport in T(T)over-bar-deformed conformal field theories: From integrability to holography

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Expectation value of T(T)over-bar operator in curved spacetimes

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Correlation functions, entanglement and chaos in the TT/JT-deformed CFTs

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TT over bar Deformation and the Complexity=Volume Conjecture

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Current-current deformations, conformal integrals and correlation functions

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Quantum corrections to finite radius holography and holographic entanglement entropy

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Flow Equations for Generalized TT Deformations

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TT(T)over-bar deformations, massive gravity and non-critical strings

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T(T)over-bar deformed YM2 on general backgrounds from an integral transformation

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Non-relativistic duality and TT deformations

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A path integral realization of joint JT, TJ and TT flows

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Thermodynamics of TT, JT, TJ deformed conformal field theories

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TsT, T(T)over-bar and black strings

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TT deformation of classical Liouville field theory

Matias Leoni

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Remarks on the thermodynamic stability of T(T)over-bar deformations

Jose L. F. Barbon et al.

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T(T)over-bar-deformation and Liouville gravity

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Strings, symmetric products, T(T)over-bar deformations and Hecke operators

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T(T)over-bar Deformation and the Light-Cone Gauge

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KdV charges and the generalized torus partition sum in T(T)over-bar deformation

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Analytic integrability for holographic duals with JT deformations

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Gravitational path integral from the T2 deformation

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Fix the dual geometries of TT deformed CFT2 and highly excited states of CFT2

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Entropic c-functions in T(T)over-bar, J(T)over-bar, T(J)over-bar deformations

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On the symmetry of T(T)over-bar deformed CFT

Miao He et al.

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TT-deformation of q-Yang-Mills theory

Leonardo Santilli et al.

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Random boundary geometry and gravity dual of TT deformation

Shinji Hirano et al.

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TT and JT deformations in quantum mechanics

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Comments on D3-brane holography

Soumangsu Chakraborty et al.

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Integrability and renormalization under T(T)over-bar

Vladimir Rosenhaus et al.

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T(T)over-bar in AdS2 and quantum mechanics

David J. Gross et al.

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T(T)over-bar flows and (2,2) supersymmetry

Chih-Kai Chang et al.

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Path integral optimization for T(T)over-bar deformation

Ghadir Jafari et al.

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Hamiltonian deformations in quantum mechanics, T(T)over-bar, and the SYK model

David J. Gross et al.

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T(T)over-bar, the entanglement wedge cross section, and the breakdown of the split property

Meseret Asrat et al.

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Correlation functions of CFTs on a torus with a T(T)over-bar deformation

Song He et al.

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Surface/state correspondence and T(T)over-bar deformation

Bin Chen et al.

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A non-abelian analogue of DBI from T (T)over-bar

T. Daniel Brennan et al.

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T(T)over-bar deformation of the compactified boson and its interpretation in lattice gauge theory

E. Beratto et al.

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T(T)over-bar deformations as TsT transformations

Alessandro Sfondrini et al.

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On correlation functions in J(T)over-bar-deformed CFTs

Monica Guica

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Comments on T(T)over-bar double trace deformations and boundary conditions

William Cottrell et al.

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dS/dS and T(T)over-bar

Victor Gorbenko et al.

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Holographic complexity equals which action?

Kanato Goto et al.

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The TT perturbation and its geometric interpretation

Riccardo Conti et al.

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Holographic integration of T(T)over-bar & J(T)over-bar via O(d, d)

T. Araujo et al.

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The holographic interpretation of J(T)over-bar-deformed CFTs

Adam Bzowski et al.

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Holography at finite cutoff with a T2 deformation

Thomas Hartman et al.

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T(T)over-bar, J(T)over-bar, T(J)over-bar and string theory

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Supersymmetry and T(T)over-bar deformations

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On T(T)over-bar deformations and supersymmetry

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Sphere partition functions & cut-off AdS

Pawel Caputa et al.

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Entanglement entropy for TT deformed CFT in general dimensions

Aritra Banerjee et al.

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2D Volkov-Akulov Model as a T(T)over-bar Deformation

Niccolo Cribiori et al.

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More on complexity in finite cut off geometry

S. Sedigheh Hashemi et al.

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T(T)over-bar-deformed actions and (1,1) supersymmetry

Evan A. Coleman et al.

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Conserved currents and TT, irrelevant deformations of 2D integrable field theories

Riccardo Conti et al.

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Entanglement entropy and T(T)over-bar deformations beyond antipodal points from holography

Sebastian Grieninger

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Wilson loop in a T(T)over-bar like deformed CFT2

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Modular covariance and uniqueness of J<(T)OVER BAR> deformed CFTs

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Modular invariance and uniqueness of T(T)over-bar deformed CFT

Ofer Aharony et al.

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Large N phase transition in T(T)over-bar-deformed 2d Yang-Mills theory on the sphere

Leonardo Santilli et al.

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KdV charges in T(T)over-bar theories and new models with super-Hagedorn behavior

Bruno Le Floch et al.

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Holographic dual of conformal field theories with very special T(J)over-bar deformations

Yu Nakayama

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Note on the Renyi entropy of 2D perturbed fermions

Yuan Sun et al.

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Very special T(J)over-bar deformed CFT

Yu Nakayama

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T(T)over-bar deformations with N = (0,2) supersymmetry

Hongliang Jiang et al.

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Entanglement and Renyi entropy of multiple intervals in T(T)over-bar-deformed CFT and holography

Hyun-Sik Jeong et al.

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Holography Beyond AdS

Meseret Asrat et al.

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T(T)over-bar-deformations, AdS/CFT and correlation functions

Gaston Giribet

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Moving the CFT into the bulk with T(T)over-bar

Lauren McGough et al.

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Cutoff AdS3 versus the T(T)over-bar deformation

Per Kraus et al.

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TT<(T)over bar> deformations in closed form

Giulio Bonelli et al.

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Entanglement beyond AdS

Soumangsu Chakraborty et al.

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Entanglement Entropy and T(T)over-bar Deformation

William Donnelly et al.

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T(T)over-bardeformed partition functions

Shouvik Datta et al.

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T<(T)over bar> partition function from topological gravity

Sergei Dubovsky et al.

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T(T)over-bartype deformation in the presence of a boundary

Juan Pablo Babaro et al.

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Holographic entanglement entropy in cutoff AdS

Chanyong Park

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Generalised Born-Infeld models, Lax operators and the T(T)over-bar perturbation

Riccardo Conti et al.

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Complexity and behind the horizon cut off

Amin Akhavan et al.

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Finite cutoff AdS5 holography and the generalized gradient flow

Vasudev Shyam

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Strings on warped AdS3 via T(J)over-bar deformations

Luis Apolo et al.

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J(T)over-bar deformed CFT2 and string theory

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The T (T)over-bardeformation of quantum field theory as random geometry

John Cardy

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Entanglement entropy in T(T)over-bar-deformed CFT

Bin Chen et al.

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Strings on NS-NS backgrounds as integrable deformations

Marco Baggio et al.

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An integrable Lorentz-breaking deformation of two-dimensional CFTs

Monica Guica

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On space of integrable quantum field theories

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Asymptonic fragility, near AdS2 holography and T(T)over-bar

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A solvable irrelevant deformation of AdS3/CFT2

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Background independent holographic dual to T(T)over-bar deformed CFT with large central charge in 2 dimensions

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The effective theory of long strings

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Effective string theory revisited

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Bosonic-type S-matrix, vacuum instability and CDD ambiguities

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Correlation functions of the energy-momentum tensor on spaces of constant curvature

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