On Free Field Realizations of W(2,2)-Modules
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(...
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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148548 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148548 |
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irk-123456789-1485482019-02-19T01:24:16Z On Free Field Realizations of W(2,2)-Modules Adamović, D. Radobolja, G. 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. 2016 Article 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. 1815-0659 2010 Mathematics Subject Classification: 17B69; 17B67; 17B68; 81R10 DOI:10.3842/SIGMA.2016.113 http://dspace.nbuv.gov.ua/handle/123456789/148548 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Adamović, D. Radobolja, G. |
| spellingShingle |
Adamović, D. Radobolja, G. On Free Field Realizations of W(2,2)-Modules Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Adamović, D. Radobolja, G. |
| author_sort |
Adamović, D. |
| title |
On Free Field Realizations of W(2,2)-Modules |
| title_short |
On Free Field Realizations of W(2,2)-Modules |
| title_full |
On Free Field Realizations of W(2,2)-Modules |
| title_fullStr |
On Free Field Realizations of W(2,2)-Modules |
| title_full_unstemmed |
On Free Field Realizations of W(2,2)-Modules |
| title_sort |
on free field realizations of w(2,2)-modules |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148548 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT adamovicd onfreefieldrealizationsofw22modules AT radoboljag onfreefieldrealizationsofw22modules |
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2023-05-20T17:29:43Z |
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2023-05-20T17:29:43Z |
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