Open Strings and Non-commutative Geometry of Branes on Group Manifolds

Abstract

In this contribution we review some recent work on the non-commutative geometry of branes on group manifolds. In particular, we show how fuzzy spaces arise in this context from an exact world-sheet description and we sketch the construction of a low-energy effective action for massless open string modes. The latter is given by a combination of a Yang-Mills and a Chern-Simons like functional on the fuzzy world-volume. It can be used to study condensation on various brane configurations in curved backgrounds.

14 pages; Proceedings contribution for Euroconference ``Brane New World and Noncommutative Geometry'', Villa Gualino, Torino, Italy, October 2000

References in corpus (3)

• Formation of Spherical D2-brane from Multiple D0-branes
• D-brane Solutions in Non-Commutative Gauge Theory on Fuzzy Sphere
• Brane Dynamics in CFT Backgrounds

Cited by in corpus (25)

• Quantum Field Theory on Noncommutative Spaces
• Lectures on Noncommutative Geometry
• D-Branes in Coset Models
• Non-commutative gauge theory of twisted D-branes
• In search of conformal theories
• The deformation quantizations of the hyperbolic plane
• D-branes on group manifolds and fusion rings
• The General Twisted Open WZW String
• Matrix dynamics of fuzzy spheres
• Chiral Bosons in Noncommutative Spacetime
• Noncommutative solitons on Kahler manifolds
• Superconformal boundary conditions for the WZW model
• D-branes in Lie groups of rank > 1
• Star products on extended massive non-rotating BTZ black holes
• Bootstrapping Non-commutative Gauge Theories from L${}_{\infty }$ algebras
• Level-rank duality of untwisted and twisted D-branes
• Level-rank duality of D-branes on the SU(N) group manifold
• The Fuzzy Kaehler Coset Space with the Darboux Coordinates
• Effective Action for D-branes on SU(2)/U(1) Gauged WZW Model
• The Fuzzy Kaehler Coset Space by the Fedosov Formalism
• Statistical entropy of two-dimensional dilaton de Sitter space
• Twisted K-theory in $g>1$ from D-branes
• Deformations of anti-de Sitter black holes
• Twisted D-branes of the SU(N)_K WZW model and level-rank duality
• Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model