Comments on $T\bar{T}$ double trace deformations and boundary conditions

Abstract

We study the UV dynamics of $\mu T\bar{T}$ deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the $\mu$ expansion by deriving an integral expression using the Fourier/Legendre transform technique, and show that it is more natural to impose Neumann, as opposed to the Dirichlet, boundary condition, for the metric at the cut-off surface recently proposed by McGough, Mezei, and Verlinde. We also comment on interesting connection to boundary conformal field theories.

11 pages, 2 figures

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Cited by in corpus (45)

• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• The holographic interpretation of $J\bar{T}$-deformed CFTs
• Entanglement Beyond $\mathrm{AdS}$
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• TT deformations in general dimensions
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• On correlation functions in $J\bar{T}$-deformed CFTs
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• Heating up holography for single-trace $J\bar{T}$ deformations
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• A Simple Worldsheet Black Hole
• Conformal Boundary Conditions from Cutoff AdS${}_3$
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• Geometrizing non-relativistic bilinear deformations
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
• Very Special $T\bar{J}$ deformed CFT
• A $T\bar{T}$ Deformation for Curved Spacetimes from 3d Gravity
• Note on the nonrelativistic $T\bar{T}$ deformation
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• $T\bar{T}$ deformation of classical Liouville field theory
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Mixed state entanglement in deformed field theory at finite temperature
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Effects of Non-Conformal Boundary on Entanglement Entropy
• Entanglement, defects, and $T\bar{T}$ on a black hole background