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Trace formula for the \(RTT\)-algebra of \(sp(4)\) type

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Abstract

We extend our recent results on the Bethe vectors for the \(RTT\)-algebra of \(sp(4)\) type. We show how the Bethe vectors can be rewritten in a different form similar to the trace formula for the Bethe vectors of the \(RTT\)-algebra of the \(gl(3)\) type.

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Notes

  1. We note that the \(RTT\)-algebra \(\tilde{\mathcal A}_2\) is not an \(RTT\)-subalgebra of the \(RTT\)-algebra \(\mathcal A\), but their \(RTT\)-subalgebras \(\mathcal A^{{}^{(+)}}\) and \(\mathcal A^{{}^{(-)}}\) are also \(RTT\)-subalgebras of \(\mathcal A\).

References

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Authors and Affiliations

  1. Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Prague, Czech Republic

    Č. Burdík

  2. Faculty of Transportation Sciences, Czech Technical University, Prague, Czech Republic

    O. Navrátil

Authors
  1. Č. Burdík
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  2. O. Navrátil
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Correspondence to Č. Burdík.

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The authors declare no conflicts of interest.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 213, pp. 95–107 https://doi.org/10.4213/tmf10208.

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Burdík, Č., Navrátil, O. Trace formula for the \(RTT\)-algebra of \(sp(4)\) type. Theor Math Phys 213, 1395–1405 (2022). https://doi.org/10.1134/S0040577922100075

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  • DOI: https://doi.org/10.1134/S0040577922100075

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