超流形中的积分表示：超 Hodge 对偶、PCOs 与 Liouville 形式
高能物理 - 理论
2016-09-08 v3 数学物理
math.MP
摘要
我们给出几种积分变换与积分表示，它们对于将微分几何的许多常见概念推广到超几何非常有用。其中我们讨论了超 Hodge 对偶的构造、弦理论的图像变换算符（picture changing operators）的积分表示，以及辛超流形的超 Liouville 形式的构造。
引用
@article{arxiv.1603.01092,
title = {Integral representations in supermanifolds: super Hodge duals, PCOs and Liouville forms},
author = {L. Castellani and R. Catenacci and P. A. Grassi},
journal= {arXiv preprint arXiv:1603.01092},
year = {2016}
}
备注
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