N = 4 l-conformal Galilei superalgebra

Research School of High-Energy Physics

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Abstract

An N=4 supersymmetric extension of the l-conformal Galilei algebra is constructed. This is achieved by combining generators of spatial symmetries from the l-conformal Galilei algebra and those underlying the most general superconformal group in one dimension D(2,1;α). The value of the group parameter α is fixed from the requirement that the resulting superalgebra is finite-dimensional. The analysis reveals [Formula presented] thus reducing D(2,1;α) to OSp(4|2).

Original language	English
Pages (from-to)	401-407
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	771
DOIs	https://doi.org/10.1016/j.physletb.2017.05.086
Publication status	Published - 1 Aug 2017

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Keywords

l-conformal Galilei algebra
N=4 supersymmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

Cite this

Galajinsky, A., & Masterov, I. (2017). N = 4 l-conformal Galilei superalgebra. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 771, 401-407. https://doi.org/10.1016/j.physletb.2017.05.086

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AB - An N=4 supersymmetric extension of the l-conformal Galilei algebra is constructed. This is achieved by combining generators of spatial symmetries from the l-conformal Galilei algebra and those underlying the most general superconformal group in one dimension D(2,1;α). The value of the group parameter α is fixed from the requirement that the resulting superalgebra is finite-dimensional. The analysis reveals [Formula presented] thus reducing D(2,1;α) to OSp(4|2).

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Access to Document

10.1016/j.physletb.2017.05.086