$T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory

Abstract

We calculate the spectrum of a two dimensional CFT on a cylinder, perturbed by a general linear combination of $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$, by utilizing the relation of this problem to certain solvable single trace current-current deformations of the worldsheet theory of strings on $Ad{S}_3$. We show that this spectrum is well behaved (i.e. the energies are real) if and only if the dual bulk geometry is well behaved (i.e. the signature of the bulk spacetime is $(1,2)$ and there are no closed timelike curves). We also comment on the relations of string theory on $Ad{S}_3$ and its deformations to symmetric product CFT's, matrix string theory, and a black hole description of highly excited fundamental strings.

arXiv comment44 pages

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Cited by in corpus (12)

• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Conformal Boundary Conditions from Cutoff AdS${}_3$
• Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Asymptotically Free AdS3/CFT2
• Comments on single trace $T\bar{T}$ and other current-current deformations
• Penrose limit for holographic duals of $J\bar{T}$ deformations
• $T\bar{T}$, Black Holes and Negative Strings
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations