N=4 l-conformal Galilei superalgebra
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 paramete...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-08-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317304495 |
| id |
doaj-63bd357a5af348ab805215451e99eca4 |
|---|---|
| record_format |
Article |
| spelling |
doaj-63bd357a5af348ab805215451e99eca42020-11-25T01:41:20ZengElsevierPhysics Letters B0370-26932017-08-01771401407N=4 l-conformal Galilei superalgebraAnton Galajinsky0Ivan Masterov1Corresponding author.; Laboratory of Mathematical Physics, Tomsk Polytechnic University, 634050 Tomsk, Lenin Ave. 30, Russian FederationLaboratory of Mathematical Physics, Tomsk Polytechnic University, 634050 Tomsk, Lenin Ave. 30, Russian FederationAn 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 α=−12 thus reducing D(2,1;α) to OSp(4|2). Keywords: l-conformal Galilei algebra, N=4 supersymmetryhttp://www.sciencedirect.com/science/article/pii/S0370269317304495 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Anton Galajinsky Ivan Masterov |
| spellingShingle |
Anton Galajinsky Ivan Masterov N=4 l-conformal Galilei superalgebra Physics Letters B |
| author_facet |
Anton Galajinsky Ivan Masterov |
| author_sort |
Anton Galajinsky |
| title |
N=4 l-conformal Galilei superalgebra |
| title_short |
N=4 l-conformal Galilei superalgebra |
| title_full |
N=4 l-conformal Galilei superalgebra |
| title_fullStr |
N=4 l-conformal Galilei superalgebra |
| title_full_unstemmed |
N=4 l-conformal Galilei superalgebra |
| title_sort |
n=4 l-conformal galilei superalgebra |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 |
| publishDate |
2017-08-01 |
| description |
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 α=−12 thus reducing D(2,1;α) to OSp(4|2). Keywords: l-conformal Galilei algebra, N=4 supersymmetry |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269317304495 |
| work_keys_str_mv |
AT antongalajinsky n4lconformalgalileisuperalgebra AT ivanmasterov n4lconformalgalileisuperalgebra |
| _version_ |
1725041339289042944 |