A 10-form Gauge Potential and an M-9-brane Wess-Zumino Action in Massive 11D Theory

Abstract

We discuss some properties of an M-9-brane in ``massive 11D theory'' proposed by Bergshoeff, Lozano and Ortin. A 10-form gauge potential is consistently introduced into the massive 11D supergravity, and an M-9-brane Wess-Zumino action is constructed as that of a gauged $\sigma$-model. Using duality relations is crucial in deriving the action, which we learn from the study of a 9-form potential in 10D massive IIA theory. A target space solution of an M-9-brane with a non-vanishing 10-form gauge field is also obtained, whose source is shown to be the M-9-brane effective action.

15pages, Latex; in v2 two computational and some typing errors corrected (one term added to eq.(3.19), coeffifients of the third line of eq.(3.22) and that of the last term of eq.(3.18) corrected), one paper by Meessen and Ortin added as ref.26

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• Topological charges in SL(2,R) covariant massive 11-dimensional and Type IIB SUGRA
• The Massive Supermembrane on a Knot
• Topological BPS charges in 10 and 11-dimensional supergravity
• Lorentz-Covariant Non-Abelian Gauging of Supermembrane
• Duality rules for more mixed-symmetry potentials
• On M-9-branes and their dimensional reductions