2017/08/31 by Daniel Grumiller, Robert McNees, Jakob Salzer +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Central charge #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Current algebra #Dilaton #General covariance #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep10(2017)203
42 pp, 5 figs, v2: added refs
arxiv created 2017/09/06 · openalex created_date 2017/09/15 · openalex publication_date 2017/10/01 · arxiv updated 2017/11/22 · openalex updated_date 2026/08/06
We consider different sets of AdS2 boundary conditions for the Jackiw-Teitelboim model in the linear dilaton sector where the dilaton is allowed to fluctuate to leading order at the boundary of the Poincaré disk. The most general set of boundary conditions is easily motivated in the gauge theoretic formulation as a Poisson sigma model and has an \mathfraks\mathfrakl(2) current algebra as asymptotic symmetries. Consistency of the variational principle requires a novel boundary counterterm in the holographically renormalized action, namely a kinetic term for the dilaton. The on-shell action can be naturally reformulated as a Schwarzian boundary action. While there can be at most three canonical boundary charges on an equal-time slice, we consider all Fourier modes of these charges with respect to the Euclidean boundary time and study their associated algebras. Besides the (centerless) \mathfraks\mathfrakl(2) current algebra we find for stricter boundary conditions a Virasoro algebra, a warped conformal algebra and a \mathfraku(1) current algebra. In each of these cases we get one half of a corresponding symmetry algebra in three-dimensional Einstein gravity with negative cosmological constant and analogous boundary conditions. However, on-shell some of these algebras reduce to finite-dimensional ones, reminiscent of the on-shell breaking of conformal invariance in SYK. We conclude with a discussion of thermodynamical aspects, in particular the entropy and some Cardyology.