Supersymmetric extension of local Lorentz symmetry

Journal Article · Sun Jan 01 04:00:00 EST 1989 · Int. J. Mod. Phys. A; (United States)

DOI:https://doi.org/10.1142/S0217751X89001138· OSTI ID:5851141

Abe, M; Nakanishi, N

The locally OSp(N, 2; /contained in/)-symmetric extension of the vierbein formalism of the Einstein gravity is systematically reconstructed. The superconnection is defined by the requirement that the vierbein supermultiplet and the GL(N/contained in/) vielbein one have vanishing supercovariant derivatives. By using the superconnection, the globally super-invariant gauge-fixing Lagrangian density and the corresponding FP-ghost one are explicitly constructed. Then the theory is shown to be invariant under the extended BRS symmetry corresponding to the local OSp(N, 2; /contained in/) symmetry.

• Research Organization: Kyoto Univ. (Japan). Research Inst. for Mathematical Sciences
• OSTI ID: 5851141
• Journal Information: Int. J. Mod. Phys. A; (United States), Journal Name: Int. J. Mod. Phys. A; (United States) Vol. 4:11; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
LORENTZ INVARIANCE
QUANTUM FIELD THEORY
SUPERSYMMETRY
SYMMETRY