TL;DR
This paper investigates the behavior of membranes in 11-dimensional supergravity, deriving their potential and identifying stable vacuum configurations where membranes form fuzzy three spheres.
Contribution
It introduces a non-linear action framework for multiple membranes in supergravity and analyzes their vacuum states, including fuzzy sphere formations.
Findings
Stable vacuum with fuzzy three sphere formation
Potential derived for transverse scalar fields
Membranes exhibit non-trivial vacuum configurations
Abstract
By placing a collection of membranes in 11 dimensional background supergravity six form field and considering the non-linear action of multiple membranes we obtain the potential for transverse scalar fields of membranes and study some possible vacuum configurations. We find that the system has a stable vacuum in which is a formation of membranes into fuzzy three sphere.
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