Dynamics of 3-Forms in Seven Dimensions

Abstract

We continue to study a certain dynamical theory of 3-forms in seven dimensions, which can be viewed as a non-linear 7D analog of the 3D Abelian Chern-Simons theory. We perform the 6+1 split and show that the theory propagates 3 degrees of freedom. We also study the dimensional reduction on S3. We find the resulting theory to be a variant of 4D scalar-tensor theory of gravity.

25 pages, no figures

References in corpus (3)

• The ${\alpha }^{\prime }$ Expansion On A Compact Manifold Of Exceptional Holonomy
• 6D Interpretation of 3D Gravity
• General Relativity from Three-Forms in Seven Dimensions

Cited by in corpus (1)

• Fermions, differential forms and doubled geometry