TY - JOUR
T1 - Integral representations on supermanifolds
T2 - super Hodge duals, PCOs and Liouville forms
AU - Castellani, Leonardo
AU - Catenacci, Roberto
AU - Grassi, Pietro Antonio
N1 - Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We present a 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.
AB - We present a 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.
KW - Analysis on supermanifolds or graded manifolds
KW - Geometric integration theory
KW - Supermanifolds and graded manifolds
UR - http://www.scopus.com/inward/record.url?scp=84995488463&partnerID=8YFLogxK
U2 - 10.1007/s11005-016-0895-x
DO - 10.1007/s11005-016-0895-x
M3 - Article
SN - 0377-9017
VL - 107
SP - 167
EP - 185
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 1
ER -