K-theory (physics) - Applications

Applications

String theory
Superstring theory
Theory
  • String theory
  • Superstring theory
  • Bosonic string theory
  • M-theory (simplified)
  • Type I string
  • Type II string
  • F-theory
  • Heterotic string
  • String field theory
Concepts
  • Strings
  • Branes
  • D-brane
  • Calabi–Yau manifold
  • Holographic principle
  • T-duality
  • S-duality
  • Kac–Moody algebra
  • E8 Lie group
Related topics
  • Conformal field theory
  • Supersymmetry
  • Supergravity
  • Quantum gravity
Scientists
  • Duff
  • Green
  • Greene
  • Gross
  • Maldacena
  • Mandelstam
  • Polchinski
  • Polyakov
  • Ramond
  • Scherk
  • Schwarz
  • Sen
  • Susskind
  • Townsend
  • Vafa
  • Veneziano
  • Witten
Glossary
  • Glossary of string theory

The K-theory classification of D-branes has had numerous applications. For example, Hanany & Kol (2000) used it to argue that there are eight species of orientifold one-plane. Uranga (2001) applied the K-theory classification to derive new consistency conditions for flux compactifications. K-theory has also been used to conjecture a formula for the topologies of T-dual manifolds by Bouwknegt, Evslin & Varghese (2004). Recently K-theory has been conjectured to classify the spinors in compactifications on generalized complex manifolds.

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