Tensor calculus for supergravity on a manifold with boundary

Details Tensor calculus for supergravity on a manifold with boundary Tensor calculus for supergravity on a manifold with boundary

2007-11-14

arxiv.org/abs/0711.2272v2

JHEP0802:047,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, JHEP format; published version

Scientific paper

10.1088/1126-6708/2008/02/047

Using the simple setting of 3D N=1 supergravity, we show how the tensor calculus of supergravity can be extended to manifolds with boundary. We present an extension of the standard F-density formula which yields supersymmetric bulk-plus-boundary actions. To construct additional separately supersymmetric boundary actions, we decompose bulk supergravity and bulk matter multiplets into co-dimension one submultiplets. As an illustration we obtain the supersymmetric extension of the York-Gibbons-Hawking extrinsic curvature boundary term. We emphasize that our construction does not require any boundary conditions on off-shell fields. This gives a significant improvement over the existing orbifold supergravity tensor calculus.

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