Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2017)203
Keywords
2D Gravity; AdS-CFT Correspondence; Topological Field Theories
Categories
Funding
- Austrian Science Fund (FWF) [P 27182-N27, P 28751-N27]
- program Science without, Borders, project [CNPq-401180/2014-0]
- CNPq [150407/2016-5, 303807/2016-4, 456698/2014-0]
- CAPES
- Sao Paulo Research Foundation (FAPESP) [2016/03319-6]
- Tomsk State University Competitiveness Improvement Program
- Loyola University Chicago Summer Research Grant
- Austrian Science Fund (FWF) [P28751] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [P 28751, P 27182] Funding Source: researchfish
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We consider different sets of AdS2 boundary conditions for the JackiwTeitelboim model in the linear dilaton sector where the dilaton is allowed to fluctuate to leading order at the boundary of the Poincar'e disk. The most general set of boundary conditions is easily motivated in the gauge theoretic formulation as a Poisson sigma model and has an sl(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) sl(2) current algebra we find for stricter boundary conditions a Virasoro algebra, a warped conformal algebra and a u(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.
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