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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 113, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.113 (Mi sigma1195) 		 
This article is cited in 9 scientific papers (total in 9 papers)

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

Dražen Adamovića, Gordan Radoboljab

a Department of Mathematics, University of Zagreb, Bijenička 30, 10 000 Zagreb, Croatia
b Faculty of Science, University of Split, Rudera Boškovića 33, 21 000 Split, Croatia
Full-text PDF (382 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2016.113
Abstract: The aim of the paper is to study modules for the twisted Heisenberg–Virasoro algebra $\mathcal H$ 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 ${\mathcal H}$-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.
Keywords: Heisenberg–Virasoro Lie algebra; vertex algebra; $W(2,2)$ algebra; screening-operators.
Funding agency Grant number
Croatian Science Foundation 2634
The authors are partially supported by the Croatian Science Foundation under the project 2634 and by the Croatian Scientific Centre of Excellence QuantixLie.
Received: June 9, 2016; in final form December 3, 2016; Published online December 6, 2016
Bibliographic databases:
Document Type: Article
MSC: 17B69; 17B67; 17B68; 81R10
Language: English
Citation: Dražen Adamović, Gordan Radobolja, “On Free Field Realizations of $W(2,2)$-Modules”, SIGMA, 12 (2016), 113, 13 pp.
Citation in format AMSBIB
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\paper On Free Field Realizations of $W(2,2)$-Modules
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\vol 12
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\totalpages 13
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