On fusion rules and intertwining operators for the Weyl vertex algebra (CROSBI ID 268040)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Adamović, Dražen ; Pedić, Veronika
engleski
On fusion rules and intertwining operators for the Weyl vertex algebra
In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way, we confirm the conjecture on fusion rules based on the Verlinde formula. We explicitly construct intertwining operators appearing in the formula for fusion rules. We present a result which relates irreducible weight modules for the Weyl vertex algebra to the irreducible modules for the affine Lie superalgebra gl(1|1).
vertex algebra ; Weyl vertex algebra ; fusion rules ; intertwining operators
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Podaci o izdanju
60 (8)
2019.
081701
18
objavljeno
0022-2488
1089-7658
10.1063/1.5098128