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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 035, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.035 (Mi sigma1572) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Duality for Knizhnik–Zamolodchikov and Dynamical Operators

Vitaly Tarasovab, Filipp Uvarova

a Department of Mathematical Sciences, Indiana University – Purdue University Indianapolis, 402 North Blackford St, Indianapolis, IN 46202-3216, USA
b St. Petersburg Branch of Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
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DOI: https://doi.org/10.3842/SIGMA.2020.035
Abstract: We consider the Knizhnik–Zamolodchikov and dynamical operators, both differential and difference, in the context of the $(\mathfrak{gl}_{k}, \mathfrak{gl}_{n})$-duality for the space of polynomials in $kn$ anticommuting variables. We show that the Knizhnik–Zamolodchikov and dynamical operators naturally exchange under the duality.
Keywords: Knizhnik–Zamolodchikov operators, dynamical operators, the $(\mathfrak{gl}_{k}, \mathfrak{gl}_{n})$-duality.
Funding agency Grant number
Simons Foundation 430235
V. Tarasov was supported in part by Simons Foundation grant 430235.
Received: February 25, 2020; in final form April 10, 2020; Published online April 25, 2020
Bibliographic databases:
Document Type: Article
MSC: 17B37, 81R10, 81R50, 39A12
Language: English
Citation: Vitaly Tarasov, Filipp Uvarov, “Duality for Knizhnik–Zamolodchikov and Dynamical Operators”, SIGMA, 16 (2020), 035, 10 pp.
Citation in format AMSBIB
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\by Vitaly~Tarasov, Filipp~Uvarov
\paper Duality for Knizhnik--Zamolodchikov and Dynamical Operators
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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