N =1 supergravity as a nonlinear realization

Journal Article · Mon Jun 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.4545· OSTI ID:7106650

Ivanov, E A; Niederle, J ^[1]

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1. Institute of Physics, Czechoslavak Academy of Sciences, 180 40 Prague (Czechoslovakia)

The {ital 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 {ital N}=1 supergravity group and having in their intersection the rigid {ital N}=1 Poincare supergroup chosen as the vacuum-stability subgroup. Thus {ital N}=1 supergravity is found to be a kind of nonlinear {sigma} model describing a partial spontaneous breaking of the infinite-dimensional supersymmetry down to the rigid {ital N}=1 supersymmetry. The only independent Goldstone superfield accompanying this breaking appears to be an axial-vector superfield {ital H}{sup {mu}m{dot u}}({ital x},{theta},{bar {theta}}) identified with the {ital N}=1 supergravity prepotential. All the other Goldstone superfields are expressed in terms of {ital H}{sup {mu}m{dot u}} 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 {sigma} model is generalized to the {ital N}=1 supergravity case. Possible implications of the proposed formulation are discussed. In particular, the intriguing analogy between {ital N}=1 supergravity and the (super) {ital p}-brane theories is pointed out.

• OSTI ID: 7106650
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
GOLDSTONE BOSONS
GRAVITATIONAL FIELDS
LIE GROUPS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PARTICLE MODELS
PERIPHERAL MODELS
POINCARE GROUPS
POSTULATED PARTICLES
QUARK MODEL
SIGMA MODEL
STRING MODELS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
VACUUM STATES
YANG-MILLS THEORY