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(S1)⋉C∞(S1)⋉Vec(S1) 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.
Highlights
Two-dimensional spacetimes with asymptotic boundaries have been recently a desirable playground for holographic studies
We present an interacting spin-2 gauge theory coupled to the two-dimensional dilaton-gravity in flat spacetime
A famous example is the Sachdev-Ye-Kitaev (SYK) model [7,8,9,10], a solvable quantum statistical mechanics which in its low energy limit has a holographic description in terms of Jackiw-Teitelboim (JT) [11,12,13,14,15] gravity with nearly AdS2 boundary conditions [16] describing the near-horizon geometry of nearly extremal black holes [17,18,19]
Summary
Two-dimensional spacetimes with asymptotic boundaries have been recently a desirable playground for holographic studies (see e.g. [1,2,3,4,5,6]). In this work we are interested in flat space holography and find an extension of the Schwarzian action in the presence of spin-2 gauge fields in the bulk. This provides a first example of higher spin generalization of 2D dilaton-gravity in flat spacetime — studied in [28], and a first step towards a potential flat-space higher-spin generalization of the SYK-model. In appendix A some aspects of including an infinite number of spin-2 gauge fields in flat space are considered and in appendix B, the center of the extended Poincaré group is found
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