Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
By M. Henneaux, Cristián Martínez, Ricardo Troncoso, J. Zanelli. 2006
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We examine anti-de Sitter gravity minimally coupled to a selfinteracting scalar field in D ≥ 4 dimensions when the mass of the scalar field is in the range m 2 ≤ m 2 < m 2 + l −2 . Here, l is the AdS radius, and m 2 is the Breitenlohner-Freedman mass. We show that even though the scalar field generically has a slow fall-off at infinity which back reacts on the metric so as to modify its standard asymptotic behavior, one can still formulate asymptotic conditions (i) that are anti-de Sitter invariant; and (ii) that allows the construction of well-defined and finite Hamiltonian generators for all elements of the anti-de Sitter algebra. This requires imposing a functional relationship on the coefficientsa, b that control the two independent terms in the asymptotic expansion of the scalar field. The anti-de Sitter
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a8571f8bf4ed0202bbcb1993c2e2e98cfc671c13
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Citations in the corpus
- Chiral gravity, log gravity, and extremal CFT (2009, unknown): “An elegant covariant construction of Ω was given for general relativity in [51] in the form of an integral Ω = ∫ dΣαJ α over a spatial slice, with J = δΓνλ ∧ [δg + 12gδ ln g] − δΓνλ[δg αν + 12g δ ln g] and δ the exterior derivative on the phase space.”
- Effective holographic theories for low-temperature condensed matter systems (2010, background): “To this gravitational contribution, one must add a scalar term, [75, 65, 66],”
- Boundary conditions and dualities: vector fields in AdS/CFT (2006, background): “One may further show that all such boundary conditions remain valid when the scalar field is coupled to gravity; see [31] for a general analysis and [32, 33, 34, 35, 36, 37] for direct calculations.”