D-Branes and Spin^c Structures

Abstract

It was recently pointed out by E. Witten that for a D-brane to consistently wrap a submanifold of some manifold, the normal bundle must admit a Spin^c structure. We examine this constraint in the case of type II string compactifications with vanishing cosmological constant, and argue that in all such cases, the normal bundle to a supersymmetric cycle is automatically Spin^c.

9 pages, LaTeX

References in corpus (2)

• D-Branes And K-Theory
• Baryons And Branes In Anti de Sitter Space

Cited by in corpus (7)

• D-Branes, Derived Categories, and Grothendieck Groups
• D-branes, Matrix Theory and K-homology
• The effective action of D6-branes in N=1 type IIA orientifolds
• Superconnections, Anomalies and Non-BPS Brane Charges
• Constructing D-Branes from K-Theory
• Cycles, submanifolds, and structures on normal bundles
• D-branes and Azumaya/matrix noncommutative differential geometry,II: Azumaya/matrix supermanifolds and differentiable maps therefrom -- with a view toward dynamical fermionic D-branes in string theory