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- W4366458259 abstract "We develop the holographic dictionary for pure $mathrm{AdS}_3$ gravity where the Lagrangian of the dual $2d$ conformal field theory has been deformed by an arbitrary function of the energy-momentum tensor. In addition to the $T overline{T}$ deformation, examples of such functions include a class of marginal stress tensor deformations which are special because they leave the generating functional of connected correlators unchanged up to a redefinition of the source and expectation value. Within this marginal class, we identify the unique deformation that commutes with the $T overline{T}$ flow, which is the root-$T overline{T}$ operator, and write down the modified boundary conditions corresponding to this root-$T overline{T}$ deformation. We also identify the unique marginal stress tensor flow for the cylinder spectrum of the dual CFT which commutes with the inviscid Burgers' flow driven by $T overline{T}$, and we propose this unique flow as a candidate root-$T overline{T}$ deformation of the energy levels. We study BTZ black holes in $mathrm{AdS}_3$ subject to root-$T overline{T}$ deformed boundary conditions, and find that their masses flow in a way which is identical to that of our candidate root-$T overline{T}$ energy flow equation, which offers evidence that this flow is the correct one. Finally, we also obtain the root-$T overline{T}$ deformed boundary conditions for the gauge field in the Chern-Simons formulation of $mathrm{AdS}_3$ gravity." @default.
- W4366458259 created "2023-04-22" @default.
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- W4366458259 date "2023-04-18" @default.
- W4366458259 modified "2023-09-24" @default.
- W4366458259 title "Root-$T overline{T}$ Deformed Boundary Conditions in Holography" @default.
- W4366458259 doi "https://doi.org/10.48550/arxiv.2304.08723" @default.
- W4366458259 hasPublicationYear "2023" @default.
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