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CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Інший ID:
2010 Mathematics Subject Classification: 17B65; 17B67; 17B69; 20G43; 81R12
DOI: http://dx.doi.org/10.3842/SIGMA.2012.036
DOI: http://dx.doi.org/10.3842/SIGMA.2012.036
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
671
Завантажень:
257
Анотація:
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.
