The Integral Form of Supergravity
High Energy Physics - Theory
2016-11-23 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
By using integral forms we derive the superspace action of D=3, N=1 supergravity as an integral on a supermanifold. The construction is based on target space picture changing operators, here playing the role of Poincare' duals to the lower-dimensional spacetime surfaces embedded into the supermanifold. We show how the group geometrical action based on the group manifold approach interpolates between the superspace and the component supergravity actions, thus providing another proof of their equivalence.
Cite
@article{arxiv.1607.05193,
title = {The Integral Form of Supergravity},
author = {L. Castellani and R. Catenacci and P. A. Grassi},
journal= {arXiv preprint arXiv:1607.05193},
year = {2016}
}
Comments
22 pages