Work

The on-shell gravity action and linear dilaton holography

Year: 2026

Type: article

Abstract: Computing the Euclidean spacetime action on-shell provides a useful way of both testing holographic proposals and determining the string theory sphere partition function. We consider families of three-dimensional linear dilaton spacetimes for which there are holographic proposals that share features of a $T\overline{T}$-deformed CFT. We extend the holographic renormalization program beyond AdS to this class of geometries by identifying the boundary terms needed for a well-defined variational principle and a finite on-shell action. We show that the spacetime energy or mass determined from the on-shell action matches the $T\overline{T}$-deformed two-dimensional CFT energy. This provides more evidence for the role of the $T\overline{T}$ deformation in this holographic correspondence.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2026.117664

Authors: Andrea Dei, Kiarash Naderi, Savdeep Sethi

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, National Centres of Competence in Research SwissMAP, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Award: Exploring String Theory with and without Supersymmetry

OpenAlex ID: W7075993909

FWCI:

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