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

Abstract

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.

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

References in corpus (2)

• Covariant Action for the Super-Five-Brane of M-Theory
• Lagrangian and Covariant Field Equations for Supersymmetric Yang-Mills Theory in 12D

Cited by in corpus (4)

• M5 on a torus and the three brane
• The linear spectrum of OSp(32|1) Chern-Simons supergravity in eleven dimensions
• Non-Abelian Electric-Magnetic Duality with Supersymmetry in 4D and 10D
• Dual Vector Multiplet Coupled to Dual N=1 Supergravity in 10D