The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Author: Johan van de Leur
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146849
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...