A formulation of supergravity based on Cartan's connection

Journal Article · Thu Apr 01 04:00:00 EST 1993 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.530168· OSTI ID:6712075

Zardecki, A ^[1]

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1. Los Alamos National Laboratory, MS E541, Los Alamos, New Mexico 87545 (United States)

The supergravity is formulated as a gauge theory with the Yang--Mills Lagrangian quadratic in curvature. To arrive at such a description, the super fiber bundle based on a superspace with the OSP([ital n]/4) symmetry group is introduced. The connection in this bundle becomes the Cartan connection when OSP([ital n]/4) is broken to SL(2,[ital C])[direct product]SO([ital n]). In the reduced bundle, this leads automatically to curvature and torsion. Explicit calculations of the Lagrangian are carried out in terms of the Cartan--Killing metrics and the curvature form for [ital n]=1 and [ital n]=8. The final theory describes the coupling of geometry to fermion fields. These fields emerge as solder forms of the Cartan connection.

• OSTI ID: 6712075
• Journal Information: Journal of Mathematical Physics (New York); (United States), Journal Name: Journal of Mathematical Physics (New York); (United States) Vol. 34:4; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

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