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    Article

    Interplay between symmetries of quantum 6j-symbols and the eigenvalue hypothesis

    The eigenvalue hypothesis claims that any quantum Racah matrix for finite-dimensional representations of \(U_q(sl_N)\) ...

    Victor Alekseev, Andrey Morozov, Alexey Sleptsov in Letters in Mathematical Physics (2021)

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    Article

    Multi-colored Links From 3-Strand Braids Carrying Arbitrary Symmetric Representations

    Obtaining HOMFLY-PT polynomials \(H_{R_1,\ldots ,R_l}\) ...

    Saswati Dhara, Andrei Mironov, Alexei Morozov, Andrey Morozov in Annales Henri Poincaré (2019)

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    Open Access

    Toric Calabi-Yau threefolds as quantum integrable systems. \( \mathrm{\mathcal{R}} \) -matrix and \( \mathrm{\mathcal{R}}\mathcal{T}\mathcal{T} \) relations

    ...

    Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov in Journal of High Energy Physics (2016)

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    Open Access

    Explicit examples of DIM constraints for network matrix models

    Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM...

    Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto in Journal of High Energy Physics (2016)