$\Bbb {Z}_2$ x $\Bbb {Z}_2$ graded superconformal algebra of parafermionic type
Noyvert, Boris
Adv. Theor. Math. Phys., Tome 13 (2009) no. 1, p. 159-185 / Harvested from Project Euclid
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We present a new conformal algebra. It is $\Bbb {Z}_2$ x $\Bbb {Z}_2$ 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.
Publié le : 2009-01-15
Classification:  
@article{1232551522,
     author = {Noyvert, Boris},
     title = {$\Bbb {Z}\_2$ x $\Bbb {Z}\_2$ graded superconformal algebra of parafermionic type},
     journal = {Adv. Theor. Math. Phys.},
     volume = {13},
     number = {1},
     year = {2009},
     pages = { 159-185},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1232551522}
}

Noyvert, Boris. $\Bbb {Z}_2$ x $\Bbb {Z}_2$ graded superconformal algebra of parafermionic type. Adv. Theor. Math. Phys., Tome 13 (2009) no. 1, pp.  159-185. http://gdmltest.u-ga.fr/item/1232551522/