2016/03/03 by Leonardo Castellani, L. Castellani, R. Catenacci +5 · 3 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Differential (mechanical device) #Differential form #Dual (grammatical number) #Dual polyhedron #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Hodge dual #Hodge theory #Homotopy and Cohomology in Algebraic Topology #Linguistics #Mathematical Physics (math-ph) #Mathematics #Nonlinear Waves and Solitons #Philosophy #Physics #Pure mathematics #Representation (politics) #Supermanifold #Symplectic geometry #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1603.01092
published in arXiv (Cornell University) (Cornell University) · A section of the present paper was already presented in a previous preprint arXiv:1511.05105. This is the complete, extended version of that work. 21 pages. No figures. Names of authors corrected in the metadata. Minor corrections, version accepted for publication Lett. Math. Phys
openalex publication_date 2016/03/03 · arxiv created 2016/09/07 · arxiv updated 2016/09/08 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/04
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.