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

Source: [On aspects of 2-dim dilaton gravity, dimensional reduction and holography](<https://www.sota2.com/research/paper/68fa3f771e209131ce8edb67>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:10:13.877Z

Authors: K. Narayan

Published: 2020-10-24T19:05:54.000Z

## Abstract

We discuss aspects of generic 2-dimensional dilaton gravity theories. The 2-dim geometry is in general conformal to $AdS\_2$ 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".

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2010.12955>)

[PDF](<https://arxiv.org/pdf/2010.12955.pdf>)