Integral representations in supermanifolds: super Hodge duals, PCOs and Liouville forms

2016/03/03 by Leonardo Castellani, Castellani, L., R. Catenacci +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1603.01092

openalex publication_date 2016/03/03 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We present few types of integral transforms and integral representations that are very useful for extending to supergeometry many familiar concepts of differential geometry. Among them we discuss the construction of the super Hodge dual, the integral representation of picture changing operators of string theories and the construction of the super-Liouville form of a symplectic supermanifold.

Cited by

• D=10 Super-Yang-Mills Theory and Poincaré Duality in Supermanifolds

Related

• Superstring Field Theory, Superforms and Supergeometry
• The Geometry of Picture Changing Operators
• Notes On Supermanifolds and Integration
• A classical approach to smooth supermanifolds
• Poincaré Duality and Supergravity