Nonlocal dynamics and infinite nonrelativistic conformal symmetries

Abstract

We study the symmetry of the class of nonlocal models which includes the nonlocal extension of the Pais-Uhlenbeck oscillator. As a consequence, we obtain an infinite dimensional symmetry algebra, containing the Virasoro algebra, which can be considered as a generalization of the non-relativistic conformal symmetries to the infinite order. Moreover, this nonlocal extension resembles to some extent the string model and on the quantum level it leads to the centrally extended Virasoro algebra. *

Aspects of infinite dimensional ℓ-super Galilean conformal algebra

“…The same algebra appears in non-relativistic analogue of AdS/CFT correspondence and called infinite dimensional Galilean conformal algebra (GCA) [10,11,12,13,14,15] (see also [16,17,18,19,20,21] for some varieties of the algebra). The same algebra also appears in cosmological topologically massive gravity [22,2] and bosonic string theory [23,24].…”