Anti-self-dual gravity and supergravity from a pure connection formulation
High Energy Physics - Theory
2016-05-25 v2 Mathematical Physics
math.MP
Abstract
We introduce a complex pure connection action with constraints which is diffeomorphism and gauge invariant. Taking as an internal group , we obtain, from the equations of motion, anti-self-dual Einstein spaces together with the zero torsion condition thanks to Bianchi identity. By applying the same procedure, we take as internal symmetry the super group and by means of the Bianchi identity and integrability conditions, the equations of motion are those that come from anti-self-dual supergravity with cosmological constant sector.
Cite
@article{arxiv.1505.01387,
title = {Anti-self-dual gravity and supergravity from a pure connection formulation},
author = {J. E. Rosales-Quintero},
journal= {arXiv preprint arXiv:1505.01387},
year = {2016}
}