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

Access to Document

10.1016/j.physletb.2017.05.086

Fingerprint Dive into the research topics of 'N = 4 l-conformal Galilei superalgebra'. Together they form a unique fingerprint.

Cite this

@article{56ade49b2de44975bbebe4732da4ce46,

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",

month = aug,

day = "1",

doi = "10.1016/j.physletb.2017.05.086",

language = "English",

volume = "771",

pages = "401--407",

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

issn = "0370-2693",

publisher = "Elsevier",

}

TY - JOUR

T1 - N = 4 l-conformal Galilei superalgebra

AU - Galajinsky, Anton

AU - Masterov, Ivan

PY - 2017/8/1

Y1 - 2017/8/1

N2 - 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).

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

UR - http://www.scopus.com/inward/record.url?scp=85020199178&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85020199178&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2017.05.086

DO - 10.1016/j.physletb.2017.05.086

M3 - Article

AN - SCOPUS:85020199178

VL - 771

SP - 401

EP - 407

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

ER -