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 | |
| 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
N = 4 l-conformal Galilei superalgebra. / Galajinsky, Anton; Masterov, Ivan.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 771, 01.08.2017, p. 401-407.Research output: Contribution to journal › Article
}
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 -