Twisted N=1, d=4 supergravity and its symmetries
High Energy Physics - Theory
2012-11-22 v3 Mathematical Physics
math.MP
Abstract
We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance of the manifold's tangent-space. It contains 4 twisted supersymmetry generators, one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes on the twisted fields of supergravity in its new minimal set of auxiliary fields. Its couplings to the twisted Wess and Zumino and vector multiplets are also determined.
Keywords
Cite
@article{arxiv.1207.4399,
title = {Twisted N=1, d=4 supergravity and its symmetries},
author = {Laurent Baulieu and Marc Bellon and Valentin Reys},
journal= {arXiv preprint arXiv:1207.4399},
year = {2012}
}
Comments
Added references and corrected misprints