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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 3, Pages 438–459
DOI: https://doi.org/10.4213/tmf8895 (Mi tmf8895) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Quiver varieties and the quantum Knizhnik–Zamolodchikov equation

P. Zinn-Justinab

a 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
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DOI: https://doi.org/10.4213/tmf8895
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.
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 3, Pages 1741–1758
DOI: https://doi.org/10.1007/s11232-015-0376-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. Zinn-Justin, “Quiver varieties and the quantum Knizhnik–Zamolodchikov equation”, TMF, 185:3 (2015), 438–459; Theoret. and Math. Phys., 185:3 (2015), 1741–1758
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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