### Abstract

N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irreducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a reducible representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work.

Original language | English |
---|---|

Article number | 131 |

Journal | Journal of High Energy Physics |

Volume | 2017 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1 Sep 2017 |

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### Keywords

- Conformal and W Symmetry
- Extended Supersymmetry

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2017*(9), [131]. https://doi.org/10.1007/JHEP09(2017)131

**N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets.** / Galajinsky, Anton; Krivonos, Sergey.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2017, no. 9, 131. https://doi.org/10.1007/JHEP09(2017)131

}

TY - JOUR

T1 - N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets

AU - Galajinsky, Anton

AU - Krivonos, Sergey

PY - 2017/9/1

Y1 - 2017/9/1

N2 - N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irreducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a reducible representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work.

AB - N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irreducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a reducible representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work.

KW - Conformal and W Symmetry

KW - Extended Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=85030084709&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030084709&partnerID=8YFLogxK

U2 - 10.1007/JHEP09(2017)131

DO - 10.1007/JHEP09(2017)131

M3 - Article

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 9

M1 - 131

ER -