$T\bar{T}$ type deformation in the presence of a boundary

Abstract

We continue the study of a recently proposed solvable irrelevant deformation of an AdS${}_3$/CFT${}_2$ correspondence that leads in the UV to a theory with Hagedorn spectrum. This can be thought of as a single trace analog of the $T\bar{T}$-deformation of the dual CFT${}_2$. Here we focus on the deformed worldsheet theory in presence of a conformal boundary. First, we compute the expectation value of a bulk primary operator on the disc geometry. We give a closed expression for such observable, from which we obtain the anomalous conformal dimension induced by the deformation. We compare the result with that coming from the computation of the 2-point correlation function on the sphere, finding exact agreement. We perform the computation using different techniques and making a comparative analysis of different regularization schemes to solve the logarithmically divergent integrals. This enables us to perform further consistency checks of our result by computing other observables of the deformed theory: We compute both the bulk-boundary 2-point and the boundary-boundary 2-point functions and are able to reproduce the anomalous dimensions of both boundary and bulk operators.

arXiv commenttypos corrected, added references

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Cited by in corpus (21)

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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
• 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 and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• 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
• Holographic Entanglement Entropy in Cutoff AdS
• 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
• Heating up holography for single-trace $J\bar{T}$ deformations
• Very Special $T\bar{J}$ deformed CFT
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• $T\bar{T}$ deformation of classical Liouville field theory
• Current-current deformations, conformal integrals and correlation functions
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Comments on single trace $T\bar{T}$ and other current-current deformations