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(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.

Generalized dilaton gravity in 2d

“…Thus, for negative z all black hole solutions are perturbatively thermodynamically unstable, a feature shared with the Schwarzschild black hole 7. The same is true for the CGHS model[59], but not for its twisted version[60].…”

Flat JT Gravity and the BMS-Schwarzian

“…We have seen that the BMS 2 algebra describes asymptotic symmetries of JT gravity in Bondi gauge (with or without cosmological constant), and that the Euclidean boundary action (2.26) can be written in Schwarzian-like form, similarly to other known examples in dilaton-gravity theories (see e.g. the sample [3][4][5][6][7][27][28][29]). The goal of this section is therefore (i) to describe in detail the structure of the centrally extended BMS 2 group, along with its adjoint and coadjoint representations, and (ii) to deduce the corresponding Schwarzian-like action functionals.…”

“…A prominent recent example is the complex SYK model [20][21][22][23][24][25][26], whose lowenergy limit yields a 'refined' holographic correspondence sensitive to two chemical potentials rather than one. From the perspective of the two-dimensional (2D) bulk, this enhancement occurs thanks to a choice of fall-off conditions in Bondi gauge [27][28][29]. The resulting asymptotic symmetries span an infinite-dimensional 'Bondi-Metzner-Sachs' group in 2D [30,31], or BMS 2 for short [27].…”

“…The resulting asymptotic symmetries span an infinite-dimensional 'Bondi-Metzner-Sachs' group in 2D [30,31], or BMS 2 for short [27]. However, all references dealing with this structure so far have eventually reduced it to its warped Virasoro subgroup [32,33], either owing to dynamical equations of motion [27,29], or for convenience [28]. The resulting boundary dynamics is then described by a warped Schwarzian action whose partition function is one-loop exact [26], similarly to the standard Schwarzian theory of the Virasoro group [18].…”

2D holography beyond the Jackiw-Teitelboim model

“…For the sake of completeness, we would like to mention the boundary actions obtained for supersymmetric[29], and higher spin[30,31] extensions of 2D dilaton gravities and for specific limits[32,33] of the JT model.…”