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COMMENTS ON SUPERSPACE SUPERGRAVITY IN THREE DIMENSIONS

Robert N. Oerter

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Abstract

The spinning membrane is formulated with manifest world-volume supersymmetry by introducing an extra scalar multiplet. The three-dimensional superconformal transformations are constructed. Prepotentials are found for the three-dimensional supergravity, and the linearized theory is quantized via the Fadeev-Popov procedure. The superspace formulation of N=2 supergravity in three dimensions is derived. An appendix gives a general procedure for deriving density projectors which project superspace actions down to components in any number of dimensions.

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What this paper is about

The spinning membrane is formulated with manifest world-volume supersymmetry by introducing an extra scalar multiplet. The three-dimensional superconformal transformations are constructed. Prepotentials are found for the three-dimensional supergravity, and the linearized theory is quantized via the Fadeev-Popov procedure. The superspace formulation of N=2 supergravity in three dimensions is derived. An appendix gives a general procedure for deriving density projectors which project superspace actions down to components in any number of dimensions.

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Available abstract

The spinning membrane is formulated with manifest world-volume supersymmetry by introducing an extra scalar multiplet. The three-dimensional superconformal transformations are constructed. Prepotentials are found for the three-dimensional supergravity, and the linearized theory is quantized via the Fadeev-Popov procedure. The superspace formulation of N=2 supergravity in three dimensions is derived. An appendix gives a general procedure for deriving density projectors which project superspace actions down to components in any number of dimensions.

Key concepts: Superspace, Supergravity, Physics, Multiplet, D-term, F-term, Scalar (mathematics), Higher-dimensional supergravity

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