Overview of KK-theory applied to strings.

Jul, 2000
17 pages
Published in:
  • Int.J.Mod.Phys.A 16 (2001) 693-706
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Abstract:
K-theory provides a framework for classifying Ramond-Ramond (RR) charges and fields. K-theory of manifolds has a natural extension to K-theory of noncommutative algebras, such as the algebra considered in noncommutative Yang-Mills theory or in open string field theory. In a number of concrete problems, the K-theory analysis proceeds most naturally if one starts out with an infinite set of D-branes, reduced by tachyon condensation to a finite set. This suggests that string field theory should be reconsidered for N=infinity.
  • K-theory
  • membrane model: D-brane
  • membrane model: p-brane
  • differential forms
  • string model
  • supersymmetry
  • gauge field theory: Yang-Mills
  • differential geometry: noncommutative
  • tachyon: condensation
  • geometry: algebra
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