Covariant Action for a D=11 Five-Brane with the Chiral Field

Abstract

We propose a complete Born-Infeld-like action for a bosonic 5-brane with the worldvolume chiral field in a background of gravitational and antisymmetric gauge fields of D=11 supergravity. When the five-brane couples to a three-rank antisymmetric gauge field local worldvolume symmetries of the five-brane require the addition to the action of an appropriate Wess-Zumino term. To preserve general coordinate and Lorentz invariance of the model we introduce a single auxiliary scalar field. The auxiliary field can be eliminated by gauge fixing a corresponding local symmetry at the price of the loss of manifest d=6 worldvolume covariance. The double dimensional reduction of the five-brane model results in the Born-Infeld action with the Wess-Zumino term for a D=10 four-D-brane.

LaTeX file, 10 pages, the form of eq. (8) corrected, a Comment added, version to appear in Phys. Lett. B

References in corpus (1)

• Poincare Invariance of a Quantized Duality Symmetric Theory

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