Rotating strings and D2-branes in type IIA reduction of M-theory on G2 manifold and their semiclassical limits

TL;DR

This paper studies rotating strings and D2-branes in a type IIA background derived from M-theory on G2 manifolds, revealing their semiclassical behaviors and energy-charge relations.

Contribution

It provides exact solutions for rotating strings and D2-branes in a G2-reduced background and analyzes their semiclassical limits, connecting string and membrane behaviors.

Findings

Rotating strings exhibit a single semiclassical behavior.

Rotating D2-branes reproduce two types of membrane energy-charge relations.

Explicit conserved charges are derived for the solutions.

Abstract

We consider rotating strings and D2-branes on type IIA background, which arises as dimensional reduction of M-theory on manifold of G2 holonomy, dual to N=1 gauge theory in four dimensions. We obtain exact solutions and explicit expressions for the conserved charges. By taking the semiclassical limit, we show that the rotating strings can reproduce only one type of semiclassical behavior, exhibited by rotating M2-branes on G2 manifolds. Our further investigation leads to the conclusion that the rotating D2-branes reproduce two types of the semiclassical energy-charge relations known for membranes in eleven dimensions.