Remarks on l-conformal extension of the Newton-Hooke algebra

TL;DR

This paper reformulates the l-conformal extension of the Newton-Hooke algebra to clarify its flat space limit, specifies admissible central charges, and introduces an infinite-dimensional Virasoro-Kac-Moody extension.

Contribution

It provides a new basis for the l-conformal Newton-Hooke algebra, clarifies the flat space limit, and extends the algebra with an infinite-dimensional Virasoro-Kac-Moody structure.

Findings

Unambiguous formulation of the algebra in a new basis

Identification of admissible central charges

Introduction of an infinite-dimensional extension

Abstract

The l-conformal extension of the Newton-Hooke algebra proposed in [J. Math. Phys. 38 (1997) 3810] is formulated in the basis in which the flat space limit is unambiguous. Admissible central charges are specified. The infinite-dimensional Virasoro-Kac-Moody type extension is given.