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arXiv · 1008.1574

The supermultiplet of boundary conditions in supergravity

Dmitry V. Belyaev·Tom G. Pugh
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Abstract

Boundary conditions in supergravity on a manifold with boundary relate the bulk gravitino to the boundary supercurrent, and the normal derivative of the bulk metric to the boundary energy-momentum tensor. In the 3D N=1 setting, we show that these boundary conditions can be stated in a manifestly supersymmetric form. We identify the Extrinsic Curvature Tensor Multiplet, and show that boundary conditions set it equal to (a conjugate of) the boundary supercurrent multiplet. Extension of our results to higher-dimensional models (including the Randall-Sundrum and Horava-Witten scenarios) is discussed.

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Dmitry V. Belyaev, Tom G. Pugh. 2010-10-27. The supermultiplet of boundary conditions in supergravity. https://doi.org/10.1007/jhep10(2010)031

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