Aleph_null Hypergravity in Three-Dimensions

Details Aleph_null Hypergravity in Three-Dimensions Aleph_null Hypergravity in Three-Dimensions

2005-04-11

arxiv.org/abs/hep-th/0504097v1

Phys.Rev. D71 (2005) 125002

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures

Scientific paper

10.1103/PhysRevD.71.125002

We construct hypergravity theory in three-dimensions with the gravitino \psi_{\mu m_1... m_n}{}^A with an arbitrary half-integral spin n+3/2, carrying also the index A for certain real representations of any gauge group G. The possible real representations are restricted by the condition that the matrix representation of all the generators are antisymmetric: (T^I)^{A B} = - (T^I)^{B A}. Since such a real representation can be arbitrarily large, this implies \aleph_0-hypergravity with infinitely many (\aleph_0) extended local hypersymmetries.

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