Non-Relativistic BMS algebra

2017/05/10 by Carles Batlle, Batlle, Carles, Diego Delmastro +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1705.03739

openalex publication_date 2017/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct two possible candidates for the non-relativistic \mathfrakbms₄ algebra in 4 space-time dimensions by contracting the original relativistic \mathfrakbms₄ algebra. The \mathfrakbms₄ algebra is infinite-dimensional, and it contains the generators of the Poincaré algebra, together with the so-called super-translations. Similarly, the proposed \mathfraknrbms₄ 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 \mathfrakbms₄ algebra using a free Klein-Gordon field.

Citations

• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Galilean Geometry in Condensed Matter Systems
• Holographic quantum matter

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