$T\bar{T}$ and LST

Abstract

It was recently shown that the theory obtained by deforming a general two dimensional conformal theory by the irrelevant operator $T\bar{T}$ is solvable. In the context of holography, a large class of such theories can be obtained by studying string theory on $Ad{S}_3$. We show that a certain $T\bar{T}$ deformation of the boundary $CF{T}_2$ gives rise in the bulk to string theory in a background that interpolates between $Ad{S}_3$ in the IR and a linear dilaton spacetime in the UV, i.e. to a two dimensional vacuum of Little String Theory. This construction provides holographic duals for a large class of vacua of string theory in asymptotically linear dilaton spacetimes, and sheds light on the UV behavior of $T\bar{T}$ deformed $CF{T}_2$. It may provide a step towards holography in flat spacetime.

v2: added references, v3: corrected typos and added references

Cited by in corpus (29)

• The $T\overline{T}$ deformation of quantum field theory as random geometry
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• Holography Beyond AdS
• $T\bar{T}$ deformed partition functions
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• Integrability and Renormalization under $T\bar{T}$
• 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
• The long string at the stretched horizon and the entropy of large non-extremal black holes
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
• $T\overline{T}$ deformations of non-Lorentz invariant field theories
• Very Special $T\bar{J}$ deformed CFT
• $T\bar{T}$-deformation and Liouville gravity
• Maximally Supersymmetric RG Flows in 4D and Integrability
• Comments on holographic entanglements in cutoff AdS
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• Warped Flatland
• Comments on single trace $T\bar{T}$ and other current-current deformations
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• Penrose limit for holographic duals of $J\bar{T}$ deformations
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality