Non-relativistic Bondi–Metzner–Sachs algebra

Abstract

We construct two possible candidates for non-relativistic bms(4) algebra in four space-time dimensions by contracting the original relativistic bms(4) algebra. bms(4) algebra is infinite-dimensional and it contains the generators of the Poincare algebra, together with the so-called super-translations. Similarly, the proposed nrbms(4) algebras can be regarded as two infinite-dimensional extensions of the Bargmann algebra. We also study a canonical realization of one of these algebras in terms of the Fourier modes of a free Schrodinger field, mimicking the canonical realization of relativistic bms(4) algebra using a free Klein-Gordon field.