Fluid Dynamical Profiles and Constants of Motion from d-Branes

TL;DR

This paper explores how certain fluid mechanical systems possess hidden higher-dimensional symmetries derived from Nambu-Goto actions, revealing deep connections and equivalences between different models.

Contribution

It uncovers the presence of hidden Poincare symmetries in fluid systems and discusses their implications for model equivalences, originating from higher-dimensional Nambu-Goto actions.

Findings

Identification of hidden Poincare symmetry in fluid systems

Demonstration of model equivalences via higher-dimensional transformations

Insights into the geometric origin of fluid dynamical constants of motion

Abstract

Various fluid mechanical systems enjoy a hidden, higher-dimensional dynamical Poincare symmetry, which arises owing to their descent from a Nambu-Goto action. Also, for the same reason, there are equivalence transformations between different models. These interconnections are discussed in our paper.