Power to Integral Forms

Abstract

A novel reformulation of D=4, N=1 supergravity action in the language of integral forms is given. We illustrate the construction of the Berezinian in the supergeometric framework, providing a useful dictionary between mathematics and physics. We present a unified framework for Berezin-Lebesgue integrals for functions and for integral forms. As an application, we discuss Volkov-Akulov theory and its coupling to supergravity from this new perspective.

References in corpus (9)

• Superbranes and Superembeddings
• Supergravity Actions with Integral Forms
• The Geometry of Supermanifolds and New Supersymmetric Actions
• De Rham Cohomology of the Supermanifolds and Superstring BRST Cohomology
• New Geometrical Approach to Superstrings
• Super-Chern-Simons Theory as Superstring Theory
• Cech and de Rham Cohomology of Integral Forms
• Chern-Simons Theory on Supermanifolds
• Super Chern-Simons Theory: BV-formalism and $A_{\infty }$-algebras