Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions

Oguzhan Kasikci, Nese Ozdemir, Mehmet Ozkan*, Utku Zorba

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra. In particular, we reproduce the extended Schrödinger algebra and provide a new higher-order Schrödinger algebra. The structure of this new algebra leads to a discussion on the uniqueness of the higher-order non-relativistic algebras. Especially, we show that the recent d-dimensional symmetry algebra of an action principle for Newtonian gravity is not uniquely defined but can accommodate three discrete parameters. For a particular choice of these parameters, the Bargmann algebra becomes a subalgebra of that extended algebra which allows one to introduce a mass current in a Bargmann-invariant sense to the extended theory.

Original languageEnglish
Article number67
JournalJournal of High Energy Physics
Volume2020
Issue number4
DOIs
Publication statusPublished - 1 Apr 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

Funding

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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    Keywords

    • Chern-Simons Theories
    • Classical Theories of Gravity
    • Space-Time Symmetries

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