# Higher-derivative generalization of conformal mechanics

## TL;DR

This paper develops higher-derivative extensions of conformal mechanics models and derives their Newton-Hooke counterparts through coordinate transformations, expanding the theoretical framework of conformal systems.

## Contribution

It introduces higher-derivative generalizations of conformal particle and many-body mechanics, and constructs their Newton-Hooke analogues via coordinate transformations.

## Key findings

- Higher-derivative conformal models are explicitly constructed.
- Newton-Hooke counterparts are obtained through transformations.
- The work broadens the theoretical landscape of conformal mechanics.

## Abstract

Higher-derivative analogues of multidimensional conformal particle and many-body conformal mechanics are constructed. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.