Supergravity Actions with Integral Forms
High Energy Physics - Theory
2015-06-22 v2 Mathematical Physics
math.MP
Abstract
Integral forms provide a natural and powerful tool for the construction of supergravity actions. They are generalizations of usual differential forms and are needed for a consistent theory of integration on supermanifolds. The group geometrical approach to supergravity and its variational principle are reformulated and clarified in this language. Central in our analysis is the Poincare' dual of a bosonic manifold embedded into a supermanifold. Finally, using integral forms we provide a proof of Gates' so-called "Ectoplasmic Integration Theorem", relating superfield actions to component actions.
Cite
@article{arxiv.1409.0192,
title = {Supergravity Actions with Integral Forms},
author = {L. Castellani and R. Catenacci and P. A. Grassi},
journal= {arXiv preprint arXiv:1409.0192},
year = {2015}
}
Comments
36 pages, LaTex, corrected some misprints to match the published version in NPB