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arXiv · 0711.2272

Tensor calculus for supergravity on a manifold with boundary

Dmitry V. Belyaev·Peter van Nieuwenhuizen
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Abstract

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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Dmitry V. Belyaev, Peter van Nieuwenhuizen. 2008-02-14. Tensor calculus for supergravity on a manifold with boundary. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F047

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