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

Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker

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

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Schomerus, Volker
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Alekseev, A. Y., Recknagel, A., & Schomerus, V. (2001). Open Strings and Non-commutative Geometry of Branes on Group Manifolds. Modern Physics Letters A, 16, 325-336.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5664-9

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.