Z2 x Z2 graded superconformal algebra of parafermionic type

Details Z2 x Z2 graded superconformal algebra of parafermionic type Z2 x Z2 graded superconformal algebra of parafermionic type

2006-12-06

arxiv.org/abs/hep-th/0612045v2

Adv.Theor.Math.Phys.13:159-185,2009

Physics

High Energy Physics

High Energy Physics - Theory

23 pages; v2: typos fixed

Scientific paper

We present a new conformal algebra. It is Z2 x Z2 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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