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

TL;DR

This paper explores the properties of an M-9-brane in massive 11D supergravity, introducing a 10-form gauge potential and constructing its Wess-Zumino action using duality relations, with implications for brane solutions.

Contribution

It introduces a 10-form gauge potential into massive 11D supergravity and constructs the M-9-brane Wess-Zumino action based on duality relations, advancing understanding of M-branes.

Findings

A consistent 10-form gauge potential is introduced into massive 11D supergravity.

The M-9-brane Wess-Zumino action is explicitly constructed using duality relations.

A target space solution for an M-9-brane with a non-zero 10-form gauge field is obtained.

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.