N = 4 l-conformal Galilei superalgebra

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

Keywords

l-conformal Galilei algebra
N=4 supersymmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2017.05.086

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title = "N = 4 l-conformal Galilei superalgebra",

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).",

keywords = "l-conformal Galilei algebra, N=4 supersymmetry",

author = "Anton Galajinsky and Ivan Masterov",

year = "2017",

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language = "English",

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journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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publisher = "Elsevier",

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T1 - N = 4 l-conformal Galilei superalgebra

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AU - Masterov, Ivan

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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).

KW - l-conformal Galilei algebra

KW - N=4 supersymmetry

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693