The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
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| Creator |
Johan van de Leur
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| Description |
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.
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| Date |
2019-02-11T17:10:32Z
2019-02-11T17:10:32Z 2014 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 17B69; 17B80; 53D45; 81R10 DOI:10.3842/SIGMA.2014.007 http://dspace.nbuv.gov.ua/handle/123456789/146849 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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