24 citations · 55 across the 6 of their papers we have counts for
6 papers
Quasi root systems and vertex operator realizations of the Virasoro algebra
Boris Noyvert
A construction of the Virasoro algebra in terms of free massless two-dimensional boson fields is studied. The ansatz for the Virasoro field contains the most general unitary scalin…
Z2 x Z2 graded superconformal algebra of parafermionic type
Boris Noyvert
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…
Algebraic approach to parafermionic conformal field theories
Boris Noyvert
Parafermionic conformal field theories are considered on a purely algebraic basis. The generalized Jacobi type identity is presented. Systems of free fermions coupled to each other…
Ramond sector of superconformal algebras via quantum reduction
Boris Noyvert
Quantum hamiltonian reduction of affine superalgebras is studied in the twisted case. The Ramond sector of "minimal" superconformal W-algebras is described in detail, the determina…
Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy
Boris Noyvert
The SW(3/2,3/2,2) superconformal algebra is a W algebra with two free parameters. It consists of 3 superconformal currents of spins 3/2, 3/2 and 2. The algebra is proved to be the…
Unitary representations of SW(3/2,2) superconformal algebra
Doron Gepner, Boris Noyvert
SW(3/2,2) superconformal algebra is W algebra with two Virasoro operators. The Kac determinant is calculated and the complete list of unitary representations is determined. Two typ…