Self-duality in Euclidean supergravity

Details Self-duality in Euclidean supergravity Self-duality in Euclidean supergravity

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17...55o&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Jan. 1985, p. 55-61.

Astronomy and Astrophysics

Astronomy

Astronomical Models, Euclidean Geometry, Gravitation Theory, Relativity, Supergravity, Curvature, Duality Principle, Gravitational Effects, Tensor Analysis

Scientific paper

The compatibility conditions for curvatures satisfying self-duality (Hawking, 1978) and double-duality (Hehl et al., 1978) ansaetze in the theory of vacuum (Euclidean) supergravity and for the double-duality ansatz in Minkowski theory are investigated theoretically. It is found that the equations of motion of Euclidean supergravity admit solutions with self-dual curvature which correspond to nontrivial field configurations, and that the double-duality ansatz leads to nontrival configurations in both Euclidean and Minkowski cases.

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