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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1142/S0217732301003425

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.

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