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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
Full-text PDF (638 kB) Citations (3)
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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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  • https://www.mathnet.ru/eng/tmf8895
  • https://doi.org/10.4213/tmf8895
  • https://www.mathnet.ru/eng/tmf/v185/i3/p438
    • This publication is cited in the following 3 articles:
    1. Dranowski A., “Generalized Orbital Varieties For Mirkovic-Vybornov Slices as Affinizations of Mirkovic-Vilonen Cycles”, Transform. Groups, 27:1 (2022), 73–87  crossref  mathscinet  isi
    2. Bykov D., Zinn-Justin P., “Higher Spin Sl(2) R-Matrix From Equivariant (Co)Homology”, Lett. Math. Phys., 110:9 (2020), 2435–2470  crossref  mathscinet  isi
    3. A. Knutson, P. Zinn-Justin, “Grassmann-grassmann conormal varieties, integrability, and plane partitions”, Ann. Inst. Fourier, 69:3 (2019), 1087–1145  crossref  mathscinet  isi
    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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    Abstract page:332
    Full-text PDF :159
    References:52
    First page:31
     
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