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- Title
Double Self-Dual and Anti-Self-Dual Structure of N=1 Supergravity.
- Authors
Chee, Guoying
- Abstract
Using the Dirac matrices the double self-dual and anti-self-dual structure of N=1 supergravity is discussed. It is shown that the (anti-)self-dual part of the curvature does not consist of the (anti-)self-dual part of the connection alone, and the (anti-)self-dual part of the Lagrangian quadratic in the curvature consists of the (anti-)self-dual part of the curvature alone only when the Lagrangian does not include torsion terms if the torsion of the spacetime does not vanish. Such a new Lagrangian is constructed. It includes no Einstein-Hilbert term but its self-dual part contains an Ashtekar term.
- Publication
General Relativity & Gravitation, 1998, Vol 30, Issue 12, p1735
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1023/A:1026615127674