Exact rotating membrane solutions on a G_2 manifold and their semiclassical limits

TL;DR

This paper derives exact rotating membrane solutions on a G_2 holonomy manifold in M-theory, explores their semiclassical limits, and advances the understanding of membrane/gauge theory correspondence for N=1 supersymmetric theories.

Contribution

It provides explicit solutions and conserved charges for membranes on a G_2 manifold, and investigates their semiclassical behavior, contributing to M-theory and gauge theory duality studies.

Findings

Explicit rotating membrane solutions on G_2 manifold

Relations between energy and conserved charges in semiclassical limit

Progress towards M-theory lift of string/gauge correspondence

Abstract

We obtain exact rotating membrane solutions and explicit expressions for the conserved charges on a manifold with exactly known metric of G_2 holonomy in M-theory, with four dimensional N=1 field theory dual. After that, we investigate their semiclassical limits and derive different relations between the energy and the other conserved quantities, which is a step towards M-theory lift of the semiclassical string/gauge theory correspondence for N=1 field theories.