### 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 |
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Pages (from-to) | 401-407 |

Number of pages | 7 |

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

Volume | 771 |

DOIs | |

Publication status | Published - 1 Aug 2017 |

### Fingerprint

### Keywords

- l-conformal Galilei algebra
- N=4 supersymmetry

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**N = 4 l-conformal Galilei superalgebra.** / Galajinsky, Anton; Masterov, Ivan.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 771, pp. 401-407. https://doi.org/10.1016/j.physletb.2017.05.086

}

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

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 -