Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres

Details Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres

1999-08-04

arxiv.org/abs/hep-th/9908040v2

JHEP 9909:023,1999

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, 1 figure; some explanations improved, references added

Scientific paper

10.1088/1126-6708/1999/09/023

The geometry of D-branes can be probed by open string scattering. If the background carries a non-vanishing B-field, the world-volume becomes non-commutative. Here we explore the quantization of world-volume geometries in a curved background with non-zero Neveu-Schwarz 3-form field strength H = dB. Using exact and generally applicable methods from boundary conformal field theory, we study the example of open strings in the SU(2) Wess-Zumino-Witten model, and establish a relation with fuzzy spheres or certain (non-associative) deformations thereof. These findings could be of direct relevance for D-branes in the presence of Neveu-Schwarz 5-branes; more importantly, they provide insight into a completely new class of world-volume geometries.

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