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The Heisenberg-Virasoro Lie conformal superalgebra.
- Source :
-
Journal of Geometry & Physics . Aug2022, Vol. 178, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- In this paper, we introduce a finite Lie conformal superalgebra called the Heisenberg-Virasoro Lie conformal superalgebra s by using a class of Heisenberg-Virasoro Lie conformal modules. The super Heisenberg-Virasoro algebra of Ramond type S is defined by the formal distribution Lie superalgebra of s. Then we construct a class of simple S -modules, which are induced from simple modules of some finite dimensional solvable Lie superalgebras. These modules are isomorphic to simple restricted S -modules, and include the highest weight modules, Whittaker modules and high order Whittaker modules. As a byproduct, we present a subalgebra of S , which is isomorphic to the super Heisenberg-Virasoro algebra of Neveu-Schwarz type. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE superalgebras
*ALGEBRA
*FINITE, The
Subjects
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 178
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 157356571
- Full Text :
- https://doi.org/10.1016/j.geomphys.2022.104560