Naslov
On Free Field Realizations of W(2, 2)-Modules

Autori
Adamović, Dražen ; Radobolja, Gordan

Izvornik
Symmetry Integrability and Geometry-Methods and Applications (1815-0659) 12 (2016); 113, 13

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

Ključne riječi
Heisenberg–Virasoro Lie algebra ; vertex algebra ; W(2 ; 2) algebra ; screening- operators

Sažetak
The aim of the paper is to study modules for the twisted Heisenberg–Virasoro algebra H at level zero as modules for the W(2, 2)-algebra by using construction from [J. Pure Appl. Algebra 219 (2015), 4322–4342, arXiv:1405.1707]. We prove that the irreducible highest weight H-module is irreducible as W(2, 2)-module if and only if it has a typical highest weight. Finally, we construct a screening operator acting on the Heisenberg–Virasoro vertex algebra whose kernel is exactly W(2, 2) vertex algebra.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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