Dirac Charge Quantization and Generalized Differential Cohomology

  title={Dirac Charge Quantization and Generalized Differential Cohomology},
  author={Daniel S. Freed},
  journal={arXiv: High Energy Physics - Theory},
  • D. Freed
  • Published 24 November 2000
  • Mathematics
  • arXiv: High Energy Physics - Theory
The main new result here is the cancellation of global anomalies in the Type I superstring, with and without D-branes. Our argument here depends on a precise interpretation of the 2-form abelian gauge field using KO-theory; then the anomaly cancellation follows from a geometric form of the full Atiyah-Singer index theorem for families of Dirac operators. This is a refined version of the Green-Schwarz mechanism. It seems that a geometric interpretation of this mechanism-the cancellation of local… 
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