Other
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.4545i&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 12, 15 June 1992, pp.4545-4554
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3
Supergravity, Nonlinear Or Nonlocal Theories And Models, Spontaneous Breaking Of Gauge Symmetries, Supersymmetry
Scientific paper
The N=1 supergravity in superspace (more precisely the minimal Einstein version of it) is consistently reformulated as a simultaneous nonlinear realization of two complex finite-dimensional supergroups generating via their closure the whole infinite-dimensional N=1 supergravity group and having in their intersection the rigid N=1 Poincaré supergroup chosen as the vacuum-stability subgroup. Thus N=1 supergravity is found to be a kind of nonlinear σ model describing a partial spontaneous breaking of the infinite-dimensional supersymmetry down to the rigid N=1 supersymmetry. The only independent Goldstone superfield accompanying this breaking appears to be an axial-vector superfield Hμμ˙(x,θ,θ¯) identified with the N=1 supergravity prepotential. All the other Goldstone superfields are expressed in terms of Hμμ˙ by imposing appropriate covariant constraints on the corresponding Cartan superforms (the inverse Higgs effect). Thereby, the 15-year-old result of Borisov and Ogievetsky who interpreted Einstein gravity as a nonlinear σ model is generalized to the N=1 supergravity case. Possible implications of the proposed formulation are discussed. In particular, the intriguing analogy between N=1 supergravity and the (super) p-brane theories is pointed out.
Ivanov Eugeny A.
Niederle Josef
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