Non-Relativistic BMS algebra

Abstract

We construct two possible candidates for the non-relativistic ${\mathfrak{bms}}_4$ algebra in 4 space-time dimensions by contracting the original relativistic ${\mathfrak{bms}}_4$ algebra. The ${\mathfrak{bms}}_4$ algebra is infinite-dimensional, and it contains the generators of the Poincaré algebra, together with the so-called super-translations. Similarly, the proposed ${\mathfrak{nrbms}}_4$ algebras can be regarded as two infinite-dimensional extensions of the Bargmann algebra. We also study a canonical realisation of one these algebras in terms of the Fourier modes of a free Schrödinger field, mimicking the canonical realisation of the relativistic ${\mathfrak{bms}}_4$ algebra using a free Klein-Gordon field.

14 pages, 2 figures File updated to match version accepted for publication in Class. & Quantum Gravity

References in corpus (4)

• Conformal Carroll groups and BMS symmetry
• Holographic quantum matter
• A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
• Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry

Cited by in corpus (1)

• BMS in higher space-time dimensions and Non-relativistic BMS