The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
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 principa...
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| Дата: | 2014 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146849 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1468492019-02-12T01:24:00Z The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints Johan van de Leur 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. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Johan van de Leur |
| spellingShingle |
Johan van de Leur The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Johan van de Leur |
| author_sort |
Johan van de Leur |
| title |
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints |
| title_short |
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints |
| title_full |
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints |
| title_fullStr |
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints |
| title_full_unstemmed |
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints |
| title_sort |
(n,1)-reduced dkp hierarchy, the string equation and w constraints |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146849 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:25:48Z |
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2023-05-20T17:25:48Z |
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1796153277573758976 |