Construction of N = 2 Chiral Supergravity Compatible with the Reality Condition

Abstract

We construct N = 2 chiral supergravity (SUGRA) which leads to Ashtekar's canonical formulation. The supersymmetry (SUSY) transformation parameters are not constrained at all and auxiliary fields are not required in contrast with the method of the two-form gravity. We also show that our formulation is compatible with the reality condition, and that its real section is reduced to the usual N = 2 SUGRA up to an imaginary boundary term.

arXiv comment16 pages, latex

References in corpus (2)

• Supersymmetry algebra in N = 1 chiral supergravity
• General considerations of matter coupling with the self-dual connection

Cited by in corpus (2)

• Canonical formulation of N = 2 supergravity in terms of the Ashtekar variable
• N = 3 chiral supergravity compatible with the reality condition and higher N chiral Lagrangian density