TL;DR
This paper explores an advanced membrane theory that enlarges the diffeomorphism group to approach a topological form of 4D gravity, discusses stability issues, and considers supersymmetry for more consistent models.
Contribution
It introduces a novel approach to membrane theory by enlarging the diffeomorphism group, leading to a simple bosonic membrane with potential supersymmetric extensions.
Findings
A bosonic membrane in 28D target space is constructed.
The flat 28D target space is unstable.
Supersymmetry may enable stable, calculable membranes in 12D.
Abstract
The key to membrane theory is to enlarge the diffeomorphism group until 4D gravity becomes almost topological. Just one ghost survives and its central charges can cancel against matter. A simple bosonic membrane emerges, but its flat D = 28 target space is unstable. Adding supersymmetry ought to give calculable (2,2) membranes in 12 target dimensions, but (2,1) membranes won't work.
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Taxonomy
TopicsOrigins and Evolution of Life · Experimental and Theoretical Physics Studies