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January 2009 $\Bbb {Z}_2$ x $\Bbb {Z}_2$ graded superconformal algebra of parafermionic type
Boris Noyvert
Adv. Theor. Math. Phys. 13(1): 159-185 (January 2009).


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.


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Boris Noyvert. "$\Bbb {Z}_2$ x $\Bbb {Z}_2$ graded superconformal algebra of parafermionic type." Adv. Theor. Math. Phys. 13 (1) 159 - 185, January 2009.


Published: January 2009
First available in Project Euclid: 21 January 2009

zbMATH: 1171.81403
MathSciNet: MR2471855

Rights: Copyright © 2009 International Press of Boston

Vol.13 • No. 1 • January 2009
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