Alternative Formulation for Duality-Symmetric Eleven-Dimensional Supergravity Coupled to Super M-5-Brane

Physics – High Energy Physics – High Energy Physics - Theory

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14 pages, latex, no figures, replaced with minor corrections for a reference [12] and other typos

Scientific paper

10.1142/S0217732399001048

We present an alternative formulation of duality-symmetric eleven-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 eleven-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.

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