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ID: 206102.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Non-commutative world-volumes: branes on SU(2) and fuzzy spheres
Authors:Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker
Date of Publication (YYYY-MM-DD):1999
Title of Journal:Journal of High Energy Physics
Volume:99
Issue / Number:09
Sequence Number of Article:023
Copyright:Jahrbuch 2000, Copyright MPG 2000
Review Status:not specified
Audience:Not Specified
Intended Educational Use:No
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:16363
ISSN:1126-6708
DOI:10.1088/1126-6708/1999/09/023
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