One of the few cases of AdS/CFT where both sides of the duality are under good control relates tensionlessk= 1 strings on AdS3to a two-dimensional symmetric product CFT. Building on prior observations, we propose an exact duality between string theory on a spacetime which is not asymptotically AdS and a non-conformal field theory. The bulk theory is constructed as a marginal deformation of thek= 1 AdS3string while the spacetime dual is a single trace$$ T\overline{T} $$ -deformed symmetric orbifold theory. As evidence for the duality, we match the one-loop bulk and boundary torus partition functions. This correspondence provides a framework to both learn about quantum gravity beyond AdS and understand how to define physical observables in$$ T\overline{T} $$ -deformed field theories.
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Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
A<sc>bstract</sc> In this note, we resolve an apparent obstacle to string/M theory realizations of dS observer patch holography, finding a new role for averaging in quantum gravity. The solvable$$ T\overline{T} $$ (+Λ2) deformation recently provided a detailed microstate count of thedS3cosmic horizon, reproducing the refined Gibbons-Hawking entropy computed by Anninos et al. along with the correct radial bulk geometry. On the gravity side, the deformation brings in the boundary to just outside a black hole horizon, where it is indistinguishable from the dS cosmic horizon, enabling a continuous passage to a bounded patch of dS. In string/M theory, the relationship between AdS/CFT and dS involves uplifts that change the internal topology, e.g. replacing an internal sphere$$ \mathbbm{S} $$ with an internal hyperbolic spaceℍ(and incorporating varying warp and conformal factors). We connect these two approaches, noting that the differences in the extra dimensions between AdS black hole and dS solutions are washed out by internal averaging in the presence of a timelike boundary skirting the horizon. This helps to motivate a detailed investigation into the possibility of such timelike boundaries in (A)dS solutions of string/M theory, and we take initial steps toward suitable generalizations of Liouville walls as one approach.
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- Award ID(s):
- 2014215
- PAR ID:
- 10477541
- Publisher / Repository:
- Springer-Verlag
- Date Published:
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2023
- Issue:
- 5
- ISSN:
- 1029-8479
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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