Expectation value of composite field T{bar T} in two-dimensional quantum field theory
read the original abstract
I show that the expectation value of the composite field $T{\bar T}$, built from the components of the energy-momentum tensor, is expressed exactly through the expectation value of the energy-momentum tensor itself. The relation is derived in two-dimensional quantum field theory under broad assumptions, and does not require integrability.
This paper has not been read by Pith yet.
Forward citations
Cited by 23 Pith papers
-
Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy
Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and roo...
-
Notes on Wasserstein distance and wormholes
Defines Boltzmann-Wasserstein distance on quantum theories via optimal W2 transport of Boltzmann-weighted spectra, equates it to thermal correlators, and constructs a Schwinger-Keldysh wormhole saddle that reproduces ...
-
$J\bar{J}$-deformation as a Riemann bilinear dressing
Reformulates J bar J deformation in CFTs as Riemann-bilinear operator dressing that preserves modular properties on Riemann surfaces and matches bare/renormalized perturbation theory.
-
$J\bar{J}$-deformation as a Riemann bilinear dressing
Reformulates J bar J deformation in CFTs as a Riemann bilinear dressing that converts perturbation theory into operator dressings and modular-invariant kernel integrals on Riemann surfaces.
-
On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
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...
-
The auxiliary-deformed Breitenlhoner-Maison model: duality frames and higher-dimensional origin
Extends auxiliary deformations of the 2D BM model to the μ-frame and uplifts both frames to a 4D higher-derivative theory without manifest diffeomorphism invariance.
-
$\boldsymbol{T\overline{T}}$ correlators from tensionless strings
Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.
-
Double-Current Deformations of Two-Dimensional QFTs with Anomalies
Extends double-current deformations to anomalous 2D QFTs via dynamical gauge and Stueckelberg couplings, producing an anomaly-preserving holonomy integral kernel that Gaussian-transforms the compact boson partition function.
-
Double-Current Deformations of Two-Dimensional QFTs with Anomalies
Constructs anomaly-preserving double-current deformations of 2D QFTs via dynamical gauge and Stueckelberg fields, reducing to a holonomy integral kernel that yields a Gaussian transform for the compact boson partition...
-
GR from RG, $2d$ Example: JT-Gravity Induced from Renormalization Group Flow
Holographic RG flow on a 2D CFT induces JT gravity with bulk lapse as dilaton and recovers TTbar deformation in the Fefferman-Graham limit.
-
The classical Yangian symmetry of Auxiliary Field Sigma Models
Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
-
Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$
In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.
-
Correlators in $T\bar{T}$ and Root-$T\bar{T}$ Deformed CFTs
Deformed two-point correlators in mixed TbarT/root-TbarT CFTs admit an explicit kernel representation as weighted averages of undeformed CFT correlators over conformal dimensions, with the two-point function obtained ...
-
Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-ener...
-
Krylov Complexity Under Hamiltonian Deformations and Toda Flows
Certain Hamiltonian deformations preserve the Krylov subspace, yielding generalized Toda equations and allowing imaginary-time dynamics to be recast as real-time unitary evolution, with applications to thermodynamic s...
-
Integrability in Three-Dimensional Gravity: Eigenfunction-Forced KdV Flows
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.
-
Geometric realization of stress-tensor deformed field theory
Stress-tensor deformations of QFTs are mapped to gravitational actions at metric saddles, with bidirectional examples and an induced Newton constant from the one-loop effective action of a massive scalar.
-
Timelike Liouville theory and AdS$_3$ gravity at finite cutoff
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
-
Holographic complexity of de-Sitter black holes
In SdS black hole holography, CV and CV2.0 complexities grow linearly while CA growth vanishes due to finite action, with matching rates between static patch and dS/CFT schemes.
-
Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity
Finite cutoff in JT gravity causes faster ERB-length saturation, deformation-dependent baby-universe emission only under Lorentzian evolution, and possible one-cut universality corrections in the matrix dual.
-
Probing deformations
Poly-vector deformations of Type II and 11D backgrounds induce TTbar-like flows on the world-volume theories of strings and branes for both abelian and non-abelian deformations.
-
Penrose limits and TsT for fibered $I$-branes
Analyzes TsT deformations and Penrose limits on fibered I-branes from prior work, finding preserved solvability when TsT precedes the limit and new asymptotically free or parallelizable sectors in the reverse order.
-
Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.