Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications (CROSBI ID 216998)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Adamović, Dražen ; Radobolja, Gordan
engleski
Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications
We investigate the free field realization of the twisted Heisenberg–Virasoro algebra H at level zero. We completely describe the structure of the associated Fock representations. Using vertex-algebraic methods and screening operators we construct singular vectors in certain Verma modules as Schur polynomials. We completely solve the irreducibility problem for the tensor products of irreducible highest weight modules with intermediate series. We also determine the fusion rules for an interesting subcategory of H-modules. Finally, as an application we present a free-field realization of the W(2, 2)- algebra and interpret the W(2, 2)-singular vectors as H-singular vectors in Verma modules.
twisted Heisenberg-Virasoro algebra; W(2; 2)-algebra; Free fields; Schur polynomials; Singular vectors
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Podaci o izdanju
219 (10)
2015.
4322-4342
objavljeno
0022-4049
10.1016/j.jpaa.2015.02.019