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On non-abelian generalisation of Born-Infeld action in string theory

A. A. Tseytlin

hep-tharXiv:hep-th/9701125

Abstract

We show that the part of the tree-level open string effective action for the non-abelian vector field which depends on the field strength but not on its covariant derivatives, is given by the symmetrised trace of the direct non-abelian generalisation of the Born-Infeld invariant. We discuss applications to D-brane dynamics.

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