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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148548 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862715313983848448 |
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| author | Adamović, D. Radobolja, G. |
| author_facet | Adamović, D. Radobolja, G. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T17:57:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148548 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:57:06Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Adamović, D. Radobolja, G. 2019-02-18T15:11:09Z 2019-02-18T15:11:09Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/148548 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. The authors are partially supported by the Croatian Science Foundation under the project 2634
 and by the Croatian Scientific Centre of Excellence QuantixLie. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Free Field Realizations of W(2,2)-Modules Article published earlier |
| spellingShingle | On Free Field Realizations of W(2,2)-Modules Adamović, D. Radobolja, G. |
| title | 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_short | On Free Field Realizations of W(2,2)-Modules |
| title_sort | on free field realizations of w(2,2)-modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148548 |
| work_keys_str_mv | AT adamovicd onfreefieldrealizationsofw22modules AT radoboljag onfreefieldrealizationsofw22modules |