The Geometry of Picture Changing Operators
Mathematical Physics
2023-05-05 v1 High Energy Physics - Theory
Algebraic Geometry
Differential Geometry
math.MP
Abstract
This note aims at clarifying some mathematical aspects of what is known in Physics as \emph{Picture Changing Operator} (PCO). In particular, we want to show that PCOs are chain maps between the complex of differential forms (or superforms) and the complex of integral forms on a given supermanifold. We comment on the construction of (super)symmetric PCOs in terms of chain homotopies and we provide some physically relevant examples of applications.
Keywords
Cite
@article{arxiv.2305.02828,
title = {The Geometry of Picture Changing Operators},
author = {Carlo Alberto Cremonini},
journal= {arXiv preprint arXiv:2305.02828},
year = {2023}
}
Comments
13 pages, comments welcome!