2D anti{endash}de Sitter gravity as a conformally invariant mechanical system

Journal Article · Fri Jun 15 04:00:00 EDT 2001 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.63.125021· OSTI ID:40203121

Cadoni, M; Carta, P; Klemm, D; Mignemi, S

We show that two-dimensional (2D) AdS gravity induces on the spacetime boundary a conformally invariant dynamics that can be described in terms of a de Alfaro{endash}Fubini{endash}Furlan model coupled to an external source with conformal dimension 2. The external source encodes information about the gauge symmetries of the 2D gravity system. Alternatively, there exists a description in terms of a mechanical system with anholonomic constraints. The considered systems are invariant under the action of the conformal group generated by a Virasoro algebra, which occurs also as an asymptotic symmetry algebra of two-dimensional anti{endash}de Sitter space. We calculate the central charge of the algebra and find perfect agreement between the statistical and thermodynamical entropies of AdS{sub 2} black holes.

• Sponsoring Organization: (US)
• OSTI ID: 40203121
• Journal Information: Physical Review D, Journal Name: Physical Review D Journal Issue: 12 Vol. 63; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
BLACK HOLES
CONFORMAL GROUPS
DIMENSIONS
SYMMETRY