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arXiv 0711.2272hep-thhep-ph
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带边界流形上超引力的张量演算

Tensor calculus for supergravity on a manifold with boundary

Dmitry V. Belyaev, Peter van Nieuwenhuizen

摘要:

利用三维N=1超引力的简单设置,我们证明了如何将超引力张量演算推广到有边界流形。我们提出了一个扩展的标准F-密度公式,产生超对称体加边界的行动。为了构造额外的超对称边界作用,我们将体超引力和体物质多重态分解为余维1的子多重态。作为例子,我们得到了York-Gibbons-Hawking外曲率边界项的超对称延拓。我们强调,我们的建设不需要任何边界条件的离壳场。这对现有的轨道折叠超引力张量演算是一个显著的改进。

英文摘要:

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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