This article is cited in 4 papers

Quiver varieties and the quantum Knizhnik–Zamolodchikov equation

P. Zinn-Justin<sup>ab

a</sup> Laboratoire de Physique Théorique et Hautes Énergies, CNRS UMR, Université Pierre et Marie Curie (Paris 6), Paris, France
^b Department of Mathematics and Statistics, The University of Melbourne, Victoria, Australia

Abstract: We show how equivariant volumes of tensor product quiver varieties of type A are given by matrix elements of vertex operators of centrally extended doubles of Yangians and how these elements satisfy the rational level-one quantum Knizhnik–Zamolodchikov equation in some cases.

Keywords: quiver variety, quantum Knizhnik–Zamolodchikov equation, quantum integrable system, equivariant cohomology.

DOI: 10.4213/tmf8895

 English version: Theoretical and Mathematical Physics, 2015, 185:3, 1741–1758

Bibliographic databases:

• 
• 
• 
• 
•