On aspects of 2-dim dilaton gravity, dimensional reduction and holography

Abstract

We discuss aspects of generic 2-dimensional dilaton gravity theories. The 2-dim geometry is in general conformal to $Ad{S}_2$ and has IR curvature singularities at zero temperature: this can be regulated by a black hole. The on-shell action is divergent: we discuss the holographic energy-momentum tensor by adding appropriate counterterms. For theories obtained by dimensional reduction of the gravitational sector of higher dimensional theories, for instance higher dimensional $AdS$ gravity as a concrete example, the 2-dimensional description dovetails with the higher dimensional one. We also discuss more general theories containing an extra scalar field which now drives nontrivial dynamics. Finally we discuss aspects of the 2-dimensional cosmological singularities discussed in earlier work. These studies suggest that generic 2-dim dilaton gravity theories are somewhat distinct from JT gravity and theories "near JT".

Latex, 21pgs, v2: references, minor clarifications added; v3: one error corrected, further clarifications added, version to be published

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Cited by in corpus (18)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
• Dilaton-gravity, deformations of the minimal string, and matrix models
• Circuit Complexity From Cosmological Islands
• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Rotating 5D Black Holes: Interactions and deformations near extremality
• JT Gravity in de Sitter Space and the Problem of Time
• Cosmologies, singularities and quantum extremal surfaces
• $Ad{S}_2$ holography and ModMax
• 2D holography beyond the Jackiw-Teitelboim model
• Nonsingular black hole in two-dimensional asymptotically flat spacetime
• Black bounces and remnants in dilaton gravity
• Path integrals in JT gravity and Virasoro constraints
• Generalized dilaton gravity in 2d
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
• Holographic JT gravity with quartic couplings
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities