Meta-conformal algebras in $d$ spatial dimensions

TL;DR

This paper constructs meta-conformal transformations as symmetries of the linear transport equation in multiple dimensions, revealing infinite-dimensional Lie algebras and deriving correlators with potential physical applications.

Contribution

It introduces the construction of meta-conformal algebras in higher dimensions and explores their structure and implications for physical models.

Findings

Meta-conformal algebras are infinite-dimensional in 1D and 2D.

Derived co-variant two-point correlators.

Discussed potential physical applications.

Abstract

Meta-conformal transformations are constructed as dynamical symmetries of the linear transport equation in $d$ spatial dimensions. In one and two dimensions, the associated Lie algebras are infinite-dimensional and isomorphic to the direct sum of either two or three Virasoro algebras. Co-variant two-point correlators are derived and possible physical applications are discussed.