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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Adamović, D.
dc.contributor.author	Radobolja, G.
dc.date.accessioned	2019-02-18T15:11:09Z
dc.date.available	2019-02-18T15:11:09Z
dc.date.issued	2016
dc.identifier.citation	On Free Field Realizations of W(2,2)-Modules / D. Adamović, G. Radobolja // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B69; 17B67; 17B68; 81R10
dc.identifier.other	DOI:10.3842/SIGMA.2016.113
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148548
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The authors are partially supported by the Croatian Science Foundation under the project 2634 and by the Croatian Scientific Centre of Excellence QuantixLie.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On Free Field Realizations of W(2,2)-Modules	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA