A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
$\Bbb {Z}_2$ x $\Bbb {Z}_2$ graded superconformal algebra of parafermionic type

2009
*
Advances in Theoretical and Mathematical Physics
*

We present a new conformal algebra. It is Z 2 × Z 2 graded and generated by three N = 1 superconformal algebras coupled to each other by nontrivial relations of parafermionic type. The representation theory and unitary models of the algebra are briefly discussed. We also conjecture the existence of infinite series of parafermionic algebras containing many N = 1 or N = 2 superconformal subalgebras.

doi:10.4310/atmp.2009.v13.n1.a5
fatcat:kotds4ie4zcydf5w5dkbcwsicy