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Second-order evaluations of orthogonal and symplectic Yangians

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Orthogonal or symplectic Yangians are defined by the Yang–Baxter RLL relation involving the fundamental R-matrix with the corresponding so(n) or sp(2m) symmetry. We investigate the second-order solution conditions, where the expansion of L(u) in u −1 is truncated at the second power, and we derive the relations for the two nontrivial terms in L(u).

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Authors and Affiliations

  1. Yerevan Physics Institute, Yerevan, Armenia

    D. R. Karakhanyan

  2. Institut für Theoretische Physik, Universität Leipzig, Leipzig, Germany

    R. Kirschner

Authors
  1. D. R. Karakhanyan
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  2. R. Kirschner
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Correspondence to D. R. Karakhanyan.

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Dedicated to the memory of P. P. Kulish

This research was supported by the Joint Institute for Nuclear Research, Dubna (a Heisenberg–Landau grant to R. Kirschner and a Smorodinsky–Ter-Antonyan grant to D. R. Karakhanyan).

The research of D. R. Karakhanyan was supported in part by the Armenian State Committee of Science (Grant No. SCS 15RF-039).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 192, No. 2, pp. 250–258, August, 2017.

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Karakhanyan, D.R., Kirschner, R. Second-order evaluations of orthogonal and symplectic Yangians. Theor Math Phys 192, 1154–1161 (2017). https://doi.org/10.1134/S0040577917080062

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  • DOI: https://doi.org/10.1134/S0040577917080062

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