Geometry of Supersymmetry
These lectures are divided into three parts. The latter two chapters are mathematical, in the sense that all definitions are precise and results are formulated as theorems. The present chapter plays a different role. It provides a mixture of motivation and formal calculation. Some of the materials is or can be made mathematical; the presentation, however, is distinctly that from physics. A mathematician may wish to read this chapter for an overview; he will be more familiar with the style of Chapters II and III.
KeywordsCohomology Class Fredholm Operator Loop Space Chern Character Homotopy Invariance
Unable to display preview. Download preview PDF.
- [EFJL]Ernst, K., Feng, P., Jaffe, A., and Lesniewski, A.: Quantum K-Theory II. Homotopy Invariance of the Chern Character, Jour. Funct. Anal., to appear.Google Scholar
- [GS]Getzler, E. and Szenes, A.: On the Chern character of theta-summable Fredholm modules, J. Funct. Anal.,to appear.Google Scholar
- [JL2]Jaffe, A. and Lesniewski, A.: Supersymmetric Field Theory and Infinite Dimensional Analysis, in Nonperturbative Quantum Field Theory, G. Hooft et al., Editors, Plenum, New York, 1988.Google Scholar
- [JL3]Jaffe, A. and Lesniewski, A.: An Index Theorem for Superderivations, Commun. Math. Phys., to appear.Google Scholar
- [JLO2]Jaffe, A., Lesniewski, A., and Osterwalder, K.: On Super-KMS Functionals and Entire Cyclic Cohomology, K-Theory, to appear.Google Scholar
- [JLW5]Jaffe, A., Lesniewski, A., and Wieczerkowski, C.: A Priori Quantum Field Equations, Ann. Phys., to appear.Google Scholar
- [M]Manin, Yu.: Complex Geometry and Gauge Fields, Springer: 1988.Google Scholar
- [We]Weitsman, J.: A Supersymmetric Field Theory in Infinite Volume, PhD Thesis, Harvard University 1988.Google Scholar
- [W3]Witten. E.: Global Anomalies in String Theory, in Anomalies, Geometry and Topology, 61–99, W. Bardeen and A. White, Eds., World Scientific, Singapore (1985).Google Scholar