Naslov
Representations of the vertex algebra W_{1+\infty} with a negative integer central charge

Autori
Adamović, Dražen

Izvornik
Communications in Algebra (0092-7872) 29 (2001), 7; 3153-3166

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
vertex algebra; W_{1+\infty} algebra; highest weight representations

Sažetak
Let $\D$ be the Lie algebra of regular differential operators on ${\C} \setminus \{0\}$, and ${\hD}= {\D} + {\C} C$ be the central extension of ${\D}$. Let $W_{1+\infty,-N}$ be the vertex algebra associated to the irreducible vacuum $\hD$-module with the central charge $c=-N$. We show that $W_{1+\infty,-N}$ is a subalgebra of the Heisenberg vertex algebra M(1) with $2 N$ generators, and construct 2N-dimensional family of irreducible $W_{1+\infty,-N}$-modules. Considering these modules as $\hD$-modules, we identify the corresponding highest weights.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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