Power to Integral Forms
C. A. Cremonini, P. A. Grassi
TL;DR
This paper introduces a new supergravity formulation using integral forms, bridging mathematics and physics, and applies it to Volkov-Akulov theory coupled with supergravity.
Contribution
It presents a novel reformulation of D=4, N=1 supergravity using integral forms and develops a unified framework for Berezin-Lebesgue integrals in supergeometry.
Findings
Unified integral form framework for supergravity
Application to Volkov-Akulov theory
Enhanced mathematical-physical correspondence
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Advanced Algebra and Geometry