SUPERSPACE FORMULATION OF THE CHERN CHARACTER OF A THETA-SUMMABLE FREDHOLM MODULE

Authors
LESNIEWSKI A OSTERWALDER K
Citation
A. Lesniewski et K. Osterwalder, SUPERSPACE FORMULATION OF THE CHERN CHARACTER OF A THETA-SUMMABLE FREDHOLM MODULE, Communications in Mathematical Physics, 168(3), 1995, pp. 643-650
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
168
Issue
3
Year of publication
1995
Pages
643 - 650
Database
ISI
SICI code
0010-3616(1995)168:3<643:SFOTCC>2.0.ZU;2-U
Abstract
We apply the concepts of superanalysis to present an intrinsically sup ersymmetric formulation of the Chern character in entire cyclic cohomo logy. We show that the cocycle condition is closely related to the inv ariance under supertranslations. Using the formalism of superfields, w e find a path integral representation of the index of the generalized Dirac operator.