English

Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology

High Energy Physics - Theory 2012-10-02 v2 Algebraic Topology Differential Geometry K-Theory and Homology

Abstract

We review and elaborate on some aspects of the quantization of certain classes of higher abelian gauge theories using techniques of generalized differential cohomology. Particular emphasis is placed on the examples of generalized Maxwell theory and Cheeger-Simons cohomology, and of Ramond-Ramond fields in Type II superstring theory and differential K-theory.

Keywords

Cite

@article{arxiv.1209.2530,
  title  = {Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology},
  author = {Richard J. Szabo},
  journal= {arXiv preprint arXiv:1209.2530},
  year   = {2012}
}

Comments

58 pages; v2: typos corrected, reference added; Contribution to the Proceedings of the 7th International Conference on Mathematical Methods in Physics, Rio de Janeiro, Brazil, April 16-20, 2012; to be published in Proceedings of Science