Flat space holography in spin-2 extended dilaton-gravity

Abstract

We present an interacting spin-2 gauge theory coupled to the two-dimensional dilaton-gravity in flat spacetime. The asymptotic symmetry group is enhanced to the central extension of Diff$(S^1)⋉C^{\infty }(S^1)⋉$Vec($S^1$) when the central element of the Heisenberg subgroup is zero (vanishing $U(1)$ level). Using the BF-formulation of the model we derive the corresponding boundary coadjoint action which is the spin-2 extension of the warped Schwarzian theory at vanishing $U(1)$ level. We also discuss the thermodynamics of black holes in this model.

arXiv comment35 pages, v2: minor corrections, text improved, citation updated, v3: introduction revised, clarification added, new subsection 7.3 added, references added

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• Holography in CGHS supergravity
• Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity