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arXiv · hep-th/0003187

Brane Dynamics in Background Fluxes and Non-commutative Geometry

A. Yu. Alekseev·A. Recknagel·V. Schomerus
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Abstract

Branes in non-trivial backgrounds are expected to exhibit interesting dynamical properties. We use the boundary conformal field theory approach to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength. For branes on an $S^3$, the low-energy effective action is computed to leading order in the string tension. It turns out to be a field theory on a non-commutative `fuzzy 2-sphere' which consists of a Yang-Mills and a Chern-Simons term. We find a certain set of classical solutions that have no analogue for flat branes in Euclidean space. These solutions show, in particular, how a spherical brane can arise as bound state from a stack of D0-branes.

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A. Yu. Alekseev, A. Recknagel, V. Schomerus. 2000-08-17. Brane Dynamics in Background Fluxes and Non-commutative Geometry. https://doi.org/10.1088/1126-6708%2F2000%2F05%2F010

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