$T\bar{T}$, Black Holes and Negative Strings

Abstract

String theory on $Ad{S}_3$ has a solvable single-trace irrelevant deformation that is closely related to $T\bar{T}$. For one sign of the coupling, it leads to an asymptotically linear dilaton spacetime, and a corresponding Hagedorn spectrum. For the other, the resulting spacetime has a curvature singularity at a finite radial location, and an upper bound on the energies of states. Beyond the singularity, the signature of spacetime is flipped and there is an asymptotically linear dilaton boundary at infinity. We study the properties of black holes and fundamental strings in this spacetime, and find a sensible picture. The singularity does not give rise to a hard ultraviolet wall for excitations -- one must include the region beyond it to understand the theory. The size of black holes diverges as their energy approaches the upper bound, as does the location of the singularity. Fundamental strings pass smoothly through the singularity, but if their energy is above the upper bound, their trajectories are singular. From the point of view of the boundary at infinity, this background can be thought of as a vacuum of Little String Theory which contains a large number of negative strings.

arXiv comment36 pages, 1 figure

References in corpus (22)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Linear Dilatons, NS5-branes and Holography
• More Comments on String Theory on AdS_3
• Gauge Theory and the Excision of Repulson Singularities
• A brief review of "little string theories"
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• Holography Beyond AdS
• LSZ in LST
• Entanglement Beyond $\mathrm{AdS}$
• $T\bar{T}$ deformed CFT as a non-critical string
• Moving the CFT into the bulk with $T\bar{T}$
• A truly marginal deformation of SL(2,R) in a null direction
• Accelerating Branes and the String/Black Hole Transition
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• Stringy Horizons II
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Beyond the Singularity of the 2-D Charged Black Hole
• Stringy instability inside the black hole
• The Averaged Null Energy Condition and the Black Hole Interior in String Theory
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Stringy Information and Black Holes

Cited by in corpus (1)

• Comments on single trace $T\bar{T}$ and other current-current deformations