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The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
Репозиторій DSpace/Manakin
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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, 2014, том 10
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The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
Інший ID:
2010 Mathematics Subject Classification: 17B69; 17B80; 53D45; 81R10
DOI:10.3842/SIGMA.2014.007
DOI:10.3842/SIGMA.2014.007
Посилання:
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints / Johan van de Leur // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 26 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full
collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html.
I would like to thank Bojko Bakalov for useful discussions and the three referees for valuable
suggestions, which improved the paper.
Дата:
2014
Переглядів:
457
Завантажень:
237
Анотація:
The total descendent potential of a simple singularity satisfies the Kac-Wakimoto principal hierarchy. Bakalov and Milanov showed recently that it is also a highest weight vector for the corresponding W-algebra. This was used by Liu, Yang and Zhang to prove its uniqueness. We construct this principal hierarchy of type D in a different way, viz. as a reduction of some DKP hierarchy. This gives a Lax type and a Grassmannian formulation of this hierarchy. We show in particular that the string equation induces a large part of the W constraints of Bakalov and Milanov. These constraints are not only given on the tau function, but also in terms of the Lax and Orlov-Schulman operators.
