On nonlinearity of p-brane dynamics

TL;DR

This paper explores the nonlinear dynamics of p-branes in specific dimensions, providing new exact solutions for spinning p-branes with Abelian symmetries, advancing understanding of their complex behaviors.

Contribution

It introduces novel exact solutions for spinning p-branes in (2p+1)-dimensional space, highlighting their Abelian symmetry properties and expanding analytical understanding.

Findings

Derived new exact solutions for spinning p-branes

Identified Abelian symmetries in p-brane shapes

Enhanced analytical understanding of p-brane nonlinear dynamics

Abstract

Nonlinear equations of $p$-branes in $D=(2p+1)$-dimensional Minkowski space are discussed. Presented are new exact solutions for a set of spinning $p$-branes with $p=2,3,...,(D-1)/2$ and the Abelian symmetries $U(1)\times U(1)\times... \times U(1)$ of their shapes.