Supergravity and the gauging of N=1 supersymmetric nonlinear σ models in the Atiyah-Ward space-time

Details Supergravity and the gauging of N=1 supersymmetric nonlinear σ models in the Atiyah-Ward space-time Supergravity and the gauging of N=1 supersymmetric nonlinear σ models in the Atiyah-Ward space-time

Feb 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..59d4006d&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 59, Issue 4, 15 February 1999, id. 044006

Physics

1

Supergravity, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Nonlinear Or Nonlocal Theories And Models, Supersymmetry

Scientific paper

We study the coupling of N=1 supergravity to a class of supersymmetric nonlinear σ models in an N=1 superspace which is based on the Atiyah-Ward space-time of a (2+2)-signature metric. We also discuss the conditions for the implementation of the gauging of isometries of the associated Kählerian target spaces and present the resulting gauge-covariant supersymmetric action functional in the curved superspace. In an appendix, we aim at clarifying some aspects of the ordinary (1+3)-signature version of the very same problem.

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