Noncommutative gerbes and deformation quantization

Abstract

We define noncommutative gerbes using the language of star products. Quantized twisted Poisson structures are discussed as an explicit realization in the sense of deformation quantization. Our motivation is the noncommutative description of D-branes in the presence of topologically non-trivial background fields.

10 pages

References in corpus (9)

• Deformation quantization of Poisson manifolds, I
• Twisted K-theory and K-theory of bundle gerbes
• Deformation quantization of algebraic varieties
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• Noncommutative gauge theory for Poisson manifolds
• Topological Open P-Branes
• Anomalies in String Theory with D-Branes
• Noncommutative line bundle and Morita equivalence
• Holonomy on D-Branes

Cited by in corpus (2)

• Nonassociative geometry and twist deformations in non-geometric string theory
• Quantization of Magnetic Poisson Structures