2007

Tensor calculus for supergravity on a manifold with boundary

Belyaev, Dmitry V., van Nieuwenhuizen, Peter

Understand

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.

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