A note on the affine vertex algebra associated to gl(1/1) at the critical level and its generalizations (CROSBI ID 246763)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Adamović, Dražen
engleski
A note on the affine vertex algebra associated to gl(1/1) at the critical level and its generalizations
In this note we present an explicit realization of the affine vertex algebra V^cri(gl(1|1)) inside of the tensor product F ⊗ M where F is a fermionic verex algebra and M is a commutative vertex algebra. This immediately gives an alternative description of the center of V^cri(gl(1|1)) as a subalgebra M_0 of M. We reconstruct the Molev-Mukhin formula for the Hilbert-Poincare series of the center of V^cri(gl(1|1)). Moreover, we construct a family of irreducible Vcri(gl(1|1))-modules realized on F and parameterized by χ+, χ- ∈ C((z)). We propose a generalization of V^cri(gl(1|1)) as a critical level version of the super W_{;1+∞}; vertex algebra.
Vertex algebras ; affine Lie superalgebras ; critical level ; W-algebras
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Podaci o izdanju
532 (21)
2017.
76-88
objavljeno
1845-4100
1849-2215
10.21857/yrvgqtpk89
Povezanost rada
Matematika