Spinning membranes on $AdS_p\times S^q$

TL;DR

This paper demonstrates how minimal surfaces in three-sphere can be used to construct spinning membrane solutions in the higher-dimensional $AdS_4 imes S^7$ space, linking geometric minimal surfaces to string theory configurations.

Contribution

It introduces a novel method of deriving spinning membrane solutions from minimal surfaces in $S^3$, expanding the understanding of membrane dynamics in $AdS$ spaces.

Findings

Minimal surfaces in $S^3$ correspond to specific spinning membrane solutions.

The constructed solutions provide new insights into membrane behavior in $AdS_4 imes S^7$.

The approach bridges geometric minimal surface theory with membrane physics in string theory.

Abstract

Minimal Surfaces in $S^3$ are shown to yield spinning membrane solutions in $AdS_4\times S^7$.