Some Comments on Branes, G-flux, and K-theory

Abstract

This is a summary of a talk at Strings2000 explaining three ways in which string theory and M-theory are related to the mathematics of K-theory.

10pp., latex

References in corpus (1)

• Noncommutative Solitons on Orbifolds

Cited by in corpus (37)

• TFT construction of RCFT correlators I: Partition functions
• Bicategories for boundary conditions and for surface defects in 3-d TFT
• D-branes and K-theory in 2D topological field theory
• Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings
• On the boundary coupling of topological Landau-Ginzburg models
• Cardy algebras and sewing constraints, I
• Landau-Ginzburg Realization of Open String TFT
• Localization and traces in open-closed topological Landau-Ginzburg models
• Enhanced D-Brane Categories from String Field Theory
• Some Relations between Twisted K-theory and E8 Gauge Theory
• Open-string vertex algebras, tensor categories and operads
• Morita classes of algebras in modular tensor categories
• Generalized complexes and string field theory
• D-brane categories
• D-brane effective action and tachyon condensation in topological minimal models
• The ABCD of topological recursion
• Topological Open Membranes
• T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring Theory
• Cardy condition for open-closed field algebras
• The A-infinity operad and the moduli space of curves
• Cardy algebras and sewing constraints, II
• Instanton Geometry and Quantum A-infinity structure on the Elliptic Curve
• 11D supergravity at $\mathcal{O}(l^3)$
• Resultant as Determinant of Koszul Complex
• Higher categorical aspects of Hall Algebras
• Moduli spaces of Klein surfaces and related operads
• Closed and open conformal field theories and their anomalies
• A Hurwitz theory avatar of open-closed strings
• Klein Topological Field Theories from Group Representations
• Cyclic Foam Topological Field Theories
• Generating the superpotential on a D-brane category: I
• On the non-commutative geometry of topological D-branes
• Operads and moduli spaces
• Cardy-Frobenius extension of algebra of cut-and-join operators
• Graded D-branes and skew-categories
• Calabi-Yau structures on categories of matrix factorizations
• Asymptotic Hurwitz numbers