Overview Of K-Theory Applied To Strings

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.

20 pp

References in corpus (5)

• String Theory and Noncommutative Geometry
• Self-Duality, Ramond-Ramond Fields, and K-Theory
• Casimir Effect Between World-Branes in Heterotic M-Theory
• D-branes, B-fields and twisted K-theory
• Duality Relations Among Topological Effects In String Theory

Cited by in corpus (42)

• Tachyon Dynamics in Open String Theory
• D-brane Deconstructions in IIB Orientifolds
• T-duality for torus bundles via noncommutative topology
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Brane Tilings and Their Applications
• Nonabelian Bundle Gerbes, their Differential Geometry and Gauge Theory
• Open Heterotic Strings
• Anomalies, Gauss laws, and Page charges in M-theory
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• Abelian and non-Abelian branes in WZW models and gerbes
• Non Abelian Differentiable Gerbes
• Closed strings from nothing
• Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory
• Emergent Spacetime and The Origin of Gravity
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Toroidal and Elliptic Quiver BPS Algebras and Beyond
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• D-Branes, Tachyons and K-Homology
• The Rational Higher Structure of M-theory
• D-Branes, RR-Fields and Duality on Noncommutative Manifolds
• Gauge enhancement of super M-branes via parametrized stable homotopy theory
• Twisted Cohomotopy implies M5-brane anomaly cancellation
• M/F-Theory as Mf-Theory
• BCFT and Sliver state
• Seiberg-Witten Monopole Equations on Noncommutative R^4
• Identity Projector and D-brane in String Field Theory
• Closed and open conformal field theories and their anomalies
• Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theory
• Relative Topological Integrals and Relative Cheeger-Simons Differential Characters
• E10 Orbifolds
• Freed-Witten anomaly in general flux compactification
• Charges and fluxes in Maxwell theory on compact manifolds with boundary
• Vector profile and gauge invariant observables of string field theory solutions for constant magnetic field background
• Kondo flow invariants, twisted K-theory and Ramond-Ramond charges
• A note on singular D-branes in group manifolds
• Twisted K-theory in $g>1$ from D-branes
• Fractional Branes in Non-compact Type IIA Orientifolds
• Gravitational monopoles, anomalies and M$E_8$ bundles
• Exactly stable non-BPS spinors in heterotic string theory on tori
• Central charges, elliptic genera, and Bekenstein-Hawking entropy in $\mathcal{N}=(2,2)$ AdS${}_3$/CFT${}_2$
• KO-Homology and Type I String Theory
• D-branes, KK-theory and duality on noncommutative spaces