Abstract |
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[eng] Firstly, we generalize a semi-classical limit of open strings on D-branes in
group manifolds. The limit gives rise to rigid open strings, whose dynamics can
efficiently be described in terms of a matrix algebra. Alternatively, the
dynamics is coded in group theory coefficients whose properties are translated
in a diagrammatical language. In the case of compact groups, it is a simplified
version of rational boundary conformal field theories, while for non-compact
groups, the construction gives rise to new associative products. Secondly, we
argue that the intuitive formalism that we provide for the semi-classical
limit, extends to the case of quantum groups. The associative product we
construct in this way is directly related to the boundary vertex operator
algebra of open strings on symmetry preserving branes in WZW models, and
generalizations thereof, e.g. to non-compact groups. We treat the groups SU(2)
and SL(2,R) explicitly. We also discuss the precise relation of the
semi-classical open string dynamics to Berezin quantization and to star product
theory.
Comment: 47 pages, 14 figures |