Supersymmetry algebra in N = 1 chiral supergravity

Abstract

We consider the supersymmetry (SUSY) transformations in the chiral Lagrangian for $N=1$ supergravity (SUGRA) with the complex tetrad following the method used in the usual $N=1$ SUGRA, and present the explicit form of the SUSY trasformations in the first-order form. The SUSY transformations are generated by two independent Majorana spinor parameters, which are apparently different from the constrained parameters employed in the method of the 2-form gravity. We also calculate the commutator algebra of the SUSY transformations on-shell.

10 pages, latex

References in corpus (1)

• General considerations of matter coupling with the self-dual connection

Cited by in corpus (5)

• Generalized Lagrangian of N = 1 supergravity and its canonical constraints with the real Ashtekar variable
• Canonical formulation of N = 2 supergravity in terms of the Ashtekar variable
• Construction of N = 2 Chiral Supergravity Compatible with the Reality Condition
• N = 3 chiral supergravity compatible with the reality condition and higher N chiral Lagrangian density
• Minimal Off-Shell Version of N = 1 Chiral Supergravity