Dynamical content of Chern-Simons Supergravity

Abstract

The dynamical content of local AdS supergravity in five dimensions is discussed. The bosonic sector of the theory contains the vielbein ($e^a$), the spin connection (${\omega }^{ab}$) and internal SU(N) and U(1) gauge fields. The fermionic fields are complex Dirac spinors (${\psi }^i$) in a vector representation of SU(N). All fields together form a connection 1-form in the superalgebra SU(2,2|N). For N=4, the symplectic matrix has maximal rank in a locally AdS background in which the dynamical degrees of freedom can be identified. The resulting efective theory have different numbers of bosonic and fermionic degrees of freedom.

15pages, RevTeX, no figures, one column. Talk given at the Second Meeting on Trends in Theoretical Physics, Buenos Aires, November 30-December 4, 1998

Cited by in corpus (17)

• Large N Field Theories, String Theory and Gravity
• Black holes with topologically nontrivial AdS asymptotics
• Finite action principle for Chern-Simons AdS gravity
• Dynamical Structure of Irregular Constrained Systems
• Canonical sectors of five-dimensional Chern-Simons theories
• Dynamics and BPS states of AdS5 supergravity with a Gauss-Bonnet term
• Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Dynamical Contents of Unconventional Supersymmetry
• Stable p-branes in Chern-Simons AdS supergravities
• On eleven-dimensional Supergravity and Chern-Simons theory
• Geometry and stability of spinning branes in AdS gravity
• Hypergravity in five dimensions
• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity
• Fluctuations around classical solutions for gauge theories in Lagrangian and Hamiltonian approach
• Fermionic Solutions of a Five-Dimensional Chern-Simons AdS Supergravity without Gravitino
• Non-Abelian gauge theories invariant under diffeomorphisms