Non-relativistic four dimensional p-brane supersymmetric theories and Lie algebra expansion. (1st June 2020)

• Record Type: Journal Article
• Authors: Romano, Luca
• Is Part Of: Classical and quantum gravity. Volume 37:Number 14(2020:Jul.)
• Publication Date: 2020-06-01
• Subjects: supergravity -- Lie algebra -- Newton–Cartan -- supersymmetry -- non-relativistic theories -- p-brane; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ab8bbc
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: We apply the Lie algebra expansion method to the N = 1 super-Poincaré algerba in four dimensions. We define a set of p-brane projectors that induce a decomposition of the super-Poincaré algebra preparatory for the expansion. We show that starting from the N = 1 supergravity action in four dimensions it is possible to obtain non-relativistic supersymmetric theories, describing strings or membranes.