Yang-Mills-Chern-Simons Supergravity

Abstract

N=(1,0) supergravity in six dimensions admits AdS_3\times S^3 as a vacuum solution. We extend our recent results presented in hep-th/0212323, by obtaining the complete N=4 Yang-Mills-Chern-Simons supergravity in D=3, up to quartic fermion terms, by S^3 group manifold reduction of the six dimensional theory. The SU(2) gauge fields have Yang-Mills kinetic terms as well as topological Chern-Simons mass terms. There is in addition a triplet of matter vectors. After diagonalisation, these fields describe two triplets of topologically-massive vector fields of opposite helicities. The model also contains six scalars, described by a GL(3,R)/SO(3) sigma model. It provides the first example of a three-dimensional gauged supergravity that can obtained by a consistent reduction of string-theory or M-theory and that admits AdS_3 as a vacuum solution. There are unusual features in the reduction from six-dimensional supergravity, owing to the self-duality condition on the 3-form field. The structure of the full equations of motion in N=(1,0) supergravity in D=6 is also elucidated, and the role of the self-dual field strength as torsion is exhibited.

Latex, 22 pages, hep-th number corrected

References in corpus (5)

• AdS3 Black Holes and a Stringy Exclusion Principle
• Spectrum of D=6, N=4b Supergravity on AdS_3 x S^3
• New Couplings of Six-Dimensional Supergravity
• SU(2) Reduction of Six-dimensional (1,0) Supergravity
• Low-energy structure of six-dimensional open-string vacua

Cited by in corpus (14)

• All supersymmetric solutions of minimal supergravity in five dimensions
• Gauged locally supersymmetric D=3 nonlinear sigma models
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Kaluza-Klein supergravity on AdS_3 x S^3
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• A supersymmetric reduction on the three-sphere
• Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3
• Superfield theories on $S^3$ and their localization
• Domain walls in three dimensional gauged supergravity
• Massive Three-Dimensional Supergravity From R+R^2 Action in Six Dimensions
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions