A Course on Noncommutative Geometry in String Theory

Abstract

In this pedagogical mini course the basics of the derivation of the noncommutative structures appearing in string theory are reviewed. First we discuss the well established appearance of the noncommutative Moyal-Weyl star-product in the correlation functions of open string vertex operators on a magnetized D-brane. Second, we will review the most recent attempts to generalize these concepts to the closed string moving in a nongeometric flux background.

18 pages, contribution to the proceedings of the Workshop on Noncommutative Field Theory and Gravity, September 8 - 15, 2013, Corfu, Greece, v2: refs. added

References in corpus (1)

• T-duality and closed string non-commutative (doubled) geometry

Cited by in corpus (7)

• Double Field Theory and Membrane Sigma-Models
• Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
• Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature
• Towards a Theory of Nonassociative Gravity
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• $U(N)$ Yang-Mills in non-commutative space time
• Matter-gravity coupling for fuzzy geometry and the Landau-Hall problem