scholarly journals Quadratic Lie conformal superalgebras related to Novikov superalgebras

2021 ◽  
Author(s):  
Pavel S. Kolesnikov ◽  
Roman A. Kozlov ◽  
Aleksander S. Panasenko
Keyword(s):  
Conformal Superalgebras

Conformal superalgebras of higher spins

1990 ◽  
Vol 198 (2) ◽  
pp. 252-292 ◽  
Author(s):  
E.S Fradkin ◽  
V.Ya Linetsky
Keyword(s):  
Higher Spins ◽  
Conformal Superalgebras

scholarly journals Quadratic Conformal Superalgebras

2000 ◽  
Vol 233 (1) ◽  
pp. 425
Author(s):  
Xiaoping Xu
Keyword(s):  
Conformal Superalgebras

scholarly journals SIMPLE JORDAN CONFORMAL SUPERALGEBRAS

2008 ◽  
Vol 07 (04) ◽  
pp. 517-533 ◽  
Author(s):  
VICTOR G. KAC ◽  
ALEXANDER RETAKH
Keyword(s):  
Preliminary Results ◽  
Conformal Superalgebras

We classify simple finite Jordan conformal superalgebras and also establish preliminary results for the classification of simple finite Jordan pseudoalgebras.

ON A ONE-PARAMETER FAMILY OF EXOTIC SUPERSPACES IN TWO DIMENSIONS

1991 ◽  
Vol 06 (35) ◽  
pp. 3239-3250 ◽  
Author(s):  
MURAT GÜNAYDIN
Keyword(s):  
Two Dimensions ◽  
Parameter Family ◽  
Oscillator Algebra ◽  
Jordan Superalgebras ◽  
Special Values ◽  
Finite Dimensional ◽  
Operator Realization ◽  
The One ◽  
Conformal Superalgebras ◽  
Bosonic Oscillator

Using Jordan algebraic techniques we define and study a family of exotic superspaces in two dimensions with two bosonic and two fermionic coordinates. They are defined by the one-parameter family of Jordan superalgebras JD (2/2)α. For two special values of α the JD (2/2)α can be realized in terms of a single fermionic or a single bosonic oscillator, respectively. For other values of α it can be interpreted as defining an exotic oscillator algebra. The derivation, reduced structure and Möbius superalgebras of JD (2/2)α are identified with the rotation, Lorentz and finite-dimensional conformal superalgebras of the corresponding superspaces. The conformal superalgebras turn out to be the superalgebras D(2,1;α) with the even subgroup SO(2,2)×SU(2) . We give an explicit differential operator realization of the actions of D(2,1;α) on these superspaces.

Extending structures of lie conformal superalgebras

2019 ◽  
Vol 47 (4) ◽  
pp. 1541-1555
Author(s):  
Jun Zhao ◽  
Liangyun Chen ◽  
Lamei Yuan
Keyword(s):  
Conformal Superalgebras
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