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The generalization of strong anisotropic XXZ model and UC hierarchy

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Abstract

This paper is concerned with the construction of the generalized strong anisotropic XXZ model. By means of the quantum inverse scattering method and boson-fermion correspondence, we investigate the general states and the scalar products of general states in the generalized strong anisotropic XXZ model which are tau functions of the universal character hierarchy. In addition, the relations between strong anisotropic XXZ model and KP hierarchy have also been presented.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 11965014 and 12061051), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT23096), the Natural Science Foundation of Inner Mongolia Autonomous Region (Grant No. 2023MS01003). The authors gratefully acknowledge the support of Professor Ke Wu and Professor Weizhong Zhao at Capital Normal University, China.

Funding

Project supported by the National Natural Science Foundation of China (Grant Nos. 11965014 and 12061051), the Natural Science Foundation of Inner Mongolia Autonomous Region (Grant No. 2023MS01003) and the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT23096).

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  1. School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021, China

    Rui An & Zhaowen Yan

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  1. Rui An
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  2. Zhaowen Yan
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R. A. and Z.W.Y. participated in developing the theoretical methods. R.A. carried out the computations, and Z.W.Y. wrote the main manuscript text. All authors reviewed the manuscript.

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Correspondence to Zhaowen Yan.

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An, R., Yan, Z. The generalization of strong anisotropic XXZ model and UC hierarchy. Anal.Math.Phys. 14, 26 (2024). https://doi.org/10.1007/s13324-024-00885-3

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