CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci. Publ., Teaneck, NJ, 1989, 369-406]). We present approp...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2012 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148441 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae / J.W. van de Leur, A.Y. Orlov, T. Shiota // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722339105406976 |
|---|---|
| author | van de Leur, J. W. Orlov, A.Y. Shiota, T. |
| author_facet | van de Leur, J. W. Orlov, A.Y. Shiota, T. |
| citation_txt | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae / J.W. van de Leur, A.Y. Orlov, T. Shiota // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci. Publ., Teaneck, NJ, 1989, 369-406]). We present appropriate bosonization formulae. We show that in the context of the CKP theory certain orthogonal polynomials appear. These polynomials are polynomial both in even and odd (in Grassmannian sense) variables.
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| first_indexed | 2025-12-07T18:35:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148441 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:35:12Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | van de Leur, J. W. Orlov, A.Y. Shiota, T. 2019-02-18T12:24:05Z 2019-02-18T12:24:05Z 2012 CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae / J.W. van de Leur, A.Y. Orlov, T. Shiota // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 19 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B65; 17B67; 17B69; 20G43; 81R12 DOI: http://dx.doi.org/10.3842/SIGMA.2012.036 https://nasplib.isofts.kiev.ua/handle/123456789/148441 We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci. Publ., Teaneck, NJ, 1989, 369-406]). We present appropriate bosonization formulae. We show that in the context of the CKP theory certain orthogonal polynomials appear. These polynomials are polynomial both in even and odd (in Grassmannian sense) variables. This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.
 The authors thank J. Harnad for many discussions on related topics. This work has been partially supported by the European Union through the FP6 Marie Curie RTN ENIGMA (Contract no. MRTN-CT-2004-5652), the European Science Foundation Program MISGAM, by RFBR grant 11-01-00440-a, and by JSPS-RFBR grant 10-01-92104 JF. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae Article published earlier |
| spellingShingle | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae van de Leur, J. W. Orlov, A.Y. Shiota, T. |
| title | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae |
| title_full | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae |
| title_fullStr | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae |
| title_full_unstemmed | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae |
| title_short | CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae |
| title_sort | ckp hierarchy, bosonic tau function and bosonization formulae |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148441 |
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