Three-dimensional conformal supergravity and Chern-Simons terms

Details Three-dimensional conformal supergravity and Chern-Simons terms Three-dimensional conformal supergravity and Chern-Simons terms

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32..872v&link_type=abstract

Physical Review D (Particles and Fields), Volume 32, Issue 4, 15 August 1985, pp.872-878

Physics

38

Supergravity

Scientific paper

The supersymmetric extension of the gravitational Chern-Simons term in three-dimensional spacetime coincides with three-dimensional conformal supergravity. The action reads I=γABRBωA+(1/6)fABCωC ωBωA, with γAB the Killing supermetric and fABC the structure constants of Osp(1/4). The constraints read Rmμν(P)=0, Rαμν(Q)=0, and Rμν mn(M)=0. Even when auxiliary fields close the super-Poincaré gauge algebra, I is invariant under local Poincaré sypersymmetry and independent of auxiliary fields.

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