Singapore ; Hackensack, N.J. : World Scientific, c2007.
Book — xii, 251 p.
Functions of anticommuting variables
Supermanifolds: The concrete approach
Functions and vector fields
Supermanifolds: The algebro-geometric approach
The structure of supermanifolds
Super Lie groups
Tensors and forms
Integration on supermanifolds
Geometric structures on supermanifolds
Supermanifolds and supersymmetric theories
Super Riemann surfaces
Path integrals on supermanifolds
Supermanifolds and BRST quantization
Supermanifolds and geometry.
This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory.Later chapters emphasise applications, including the superspace approach to supersymmetric theories, super Riemann surfaces and the spinning string, path integration on supermanifolds and BRST quantization. (source: Nielsen Book Data)