Conformal Field Theory and Elliptic Cohomology
Abstract
Elliptic cohomology Ell* is one of the so-called complex-oriented cohomology theories which generalizes the complex K-Theory and from which does not exist yet an strict geometric construction. Because the supercharge of the supersymmetric nonlinear sigma model plays a role similar to the role of the Dirac operator in K-theory, in this work we survey the string theory structure as one of the ingredients that would gives rise to a geometric construction for Ell*.
- Publication:
-
Frontiers in Contemporary Physics
- Pub Date:
- January 2006
- DOI:
- 10.1063/1.2160974
- Bibcode:
- 2006AIPC..809...96P
- Keywords:
-
- 11.25.Hf;
- 12.60.Jv;
- Conformal field theory algebraic structures;
- Supersymmetric models