Non-commutative worldvolume geometries: D-branes on SU(2) and fuzzy spheres | Zendy

Anton Alekseev | Zendy; A. Recknagel | Zendy; Volker Schomerus | Zendy

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Non-commutative worldvolume geometries: D-branes on SU(2) and fuzzy spheres

Author(s) -

Anton Alekseev,

A. Recknagel,

Volker Schomerus

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/09/023

Subject(s) - brane cosmology , commutative property , conformal map , string theory , quantization (signal processing) , field (mathematics) , boundary conformal field theory , fuzzy sphere , spheres , physics , mathematics , noncommutative geometry , geometry , boundary (topology) , mathematical physics , theoretical physics , pure mathematics , mathematical analysis , neumann boundary condition , algorithm , astronomy , robin boundary condition

The geometry of D-branes can be probed by open string scattering. If thebackground carries a non-vanishing B-field, the world-volume becomesnon-commutative. Here we explore the quantization of world-volume geometries ina curved background with non-zero Neveu-Schwarz 3-form field strength H = dB.Using exact and generally applicable methods from boundary conformal fieldtheory, we study the example of open strings in the SU(2) Wess-Zumino-Wittenmodel, and establish a relation with fuzzy spheres or certain (non-associative)deformations thereof. These findings could be of direct relevance for D-branesin the presence of Neveu-Schwarz 5-branes; more importantly, they provideinsight into a completely new class of world-volume geometries.Comment: 19 pages, LaTeX, 1 figure; some explanations improved, references adde

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