Structure of the field equations in N = 1 chiral supergravity

Details Structure of the field equations in N = 1 chiral supergravity Structure of the field equations in N = 1 chiral supergravity

1996-10-16

arxiv.org/abs/gr-qc/9610033v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, latex

Scientific paper

We study the structure of linearized field equations in $N = 1$ chiral supergravity (SUGRA) with a complex tetrad, as a preliminary to introducing additional auxiliary fields in order that the supersymmetry (SUSY) algebra close off shell. We follow the first-order formulation we have recently constructed using the method of the usual $N = 1$ SUGRA. In particular, we see how the real and imaginary parts of the complex tetrad are coupled to matter fields in the weak field approximation. Starting from the linearized (free) theory of $N = 1$ chiral SUGRA, we then construct a Lagrangian which is invariant under local SUSY transformations to zeroth order of the gravitational constant, and compare the results with the linearized field equations.

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