ALTERNATIVE FORMULATION FOR DUALITY-SYMMETRIC 11-DIMENSIONAL SUPERGRAVITY COUPLED TO SUPER M-5-BRANE
Abstract
We present an alternative formulation of duality-symmetric 11-dimensional supergravity with both three-form and six-form gauge fields. Instead of the recently-proposed scalar auxiliary field, we use a simpler Lagrangian with a non-propagating auxiliary multiplier tensor field with eight-indices. We also complete the superspace formulation in a duality-symmetric manner. An alternative super M-5-brane action coupled to this 11-dimensional background is also presented. This formulation bypasses the usual obstruction for an invariant Lagrangian for a self-dual three-form field strength, by allowing the self-duality only as a solution for field equations, but not as a necessary condition.
This work is supported in part by NSF grant # HY-93-41926.
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