Orbiting Membranes in M-theory on AdS_7 x S^4 Background

TL;DR

This paper analyzes classical rotating and boosted membranes in M-theory on AdS_7 x S^4, revealing how their energy relates to spin and R-charge, with specific scaling behaviors in different backgrounds.

Contribution

It provides new solutions for membranes in AdS_7 x S^4 and explores their energy-spin relations, extending understanding of membrane dynamics in M-theory backgrounds.

Findings

In flat space, E ~ S^{2/3}

In AdS, E - S grows as S^{1/3}

Briefly studies membranes in AdS_4 x S^7

Abstract

We study classical solutions describing rotating and boosted membranes on AdS_7 x S^4 background in M-theory. We find the dependence of the energy on the spin and R-charge of these solutions. In the flat space limit we get E ~ S^{2/3}, while for AdS at leading order E-S grows as S^{1/3}. The membranes on AdS_4 x S^7 background have briefly been studied as well.