Open Strings and Non-commutative Geometry of Branes on Group Manifolds
Anton Yu. Alekseev, Andreas Recknagel, Volker Schomerus
TL;DR
This paper reviews recent developments in the non-commutative geometry of branes on group manifolds, highlighting fuzzy space emergence and effective actions for open string modes.
Contribution
It introduces a construction of low-energy effective actions combining Yang-Mills and Chern-Simons functionals on fuzzy brane world-volumes.
Findings
Fuzzy spaces naturally arise from exact world-sheet descriptions.
The effective action combines Yang-Mills and Chern-Simons terms.
This framework enables study of brane condensation in curved backgrounds.
Abstract
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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