Associating deformed $ϕ$-coordinated modules for the quantum affine vertex algebra with orthogonal twisted $h$-Yangians
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| Format: | Preprint |
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2024
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| _version_ | 1866912798626283520 |
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| author | Bagnoli, Lucia Kožić, Slaven |
| author_facet | Bagnoli, Lucia Kožić, Slaven |
| contents | We consider the Etingof-Kazhdan quantum vertex algebra $\mathcal{V}^c(\mathfrak{gl}_N)$ associated with the trigonometric $R$-matrix of type $A$. By combining Li's theory of $ϕ$-coordinated modules and the ideas from our previous paper, we introduce the notion of deformed $ϕ$-coordinated quantum vertex algebra module. We show that the orthogonal twisted $h$-Yangians and restricted modules for the generalized orthogonal twisted $h$-Yangians can be equipped with the structure of (truncated) deformed $ϕ$-coordinated $\mathcal{V}^c(\mathfrak{gl}_N)$-module and demonstrate its applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Associating deformed $ϕ$-coordinated modules for the quantum affine vertex algebra with orthogonal twisted $h$-Yangians Bagnoli, Lucia Kožić, Slaven Quantum Algebra We consider the Etingof-Kazhdan quantum vertex algebra $\mathcal{V}^c(\mathfrak{gl}_N)$ associated with the trigonometric $R$-matrix of type $A$. By combining Li's theory of $ϕ$-coordinated modules and the ideas from our previous paper, we introduce the notion of deformed $ϕ$-coordinated quantum vertex algebra module. We show that the orthogonal twisted $h$-Yangians and restricted modules for the generalized orthogonal twisted $h$-Yangians can be equipped with the structure of (truncated) deformed $ϕ$-coordinated $\mathcal{V}^c(\mathfrak{gl}_N)$-module and demonstrate its applications. |
| title | Associating deformed $ϕ$-coordinated modules for the quantum affine vertex algebra with orthogonal twisted $h$-Yangians |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2407.00515 |