Tensor calculus for supergravity on a manifold with boundary
Tensor calculus for supergravity on a manifold with boundary
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有边界流形上超重力的张量微积分
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
P. Nieuwenhuizen
中科院分区：
文献类型：
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作者：
D. Belyaev;P. Nieuwenhuizen
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.
