Twisted quantum affine algebras and equivariant $ϕ$-coordinated modules for quantum vertex algebras
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911567941992448 |
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| author | Jing, Naihuan Kong, Fei Li, Haisheng Tan, Shaobin |
| author_facet | Jing, Naihuan Kong, Fei Li, Haisheng Tan, Shaobin |
| contents | This paper is about establishing a natural connection of quantum affine algebras with quantum vertex algebras. Among the main results, we establish $\hbar$-adic versions of the smash product construction of
quantum vertex algebras and their $ϕ$-coordinated quasi modules, which were obtained before in a sequel, we construct a family of $\hbar$-adic quantum vertex algebras $V_L[[\hbar]]^η$ as deformations of the lattice vertex algebras $V_L$, and establish a natural connection between twisted quantum affine algebras of type $A, D, E$ and equivariant $ϕ$-coordinated quasi modules for the $\hbar$-adic quantum vertex algebras $V_L[[\hbar]]^η$ with certain specialized $η$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01895 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Twisted quantum affine algebras and equivariant $ϕ$-coordinated modules for quantum vertex algebras Jing, Naihuan Kong, Fei Li, Haisheng Tan, Shaobin Quantum Algebra This paper is about establishing a natural connection of quantum affine algebras with quantum vertex algebras. Among the main results, we establish $\hbar$-adic versions of the smash product construction of quantum vertex algebras and their $ϕ$-coordinated quasi modules, which were obtained before in a sequel, we construct a family of $\hbar$-adic quantum vertex algebras $V_L[[\hbar]]^η$ as deformations of the lattice vertex algebras $V_L$, and establish a natural connection between twisted quantum affine algebras of type $A, D, E$ and equivariant $ϕ$-coordinated quasi modules for the $\hbar$-adic quantum vertex algebras $V_L[[\hbar]]^η$ with certain specialized $η$. |
| title | Twisted quantum affine algebras and equivariant $ϕ$-coordinated modules for quantum vertex algebras |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2212.01895 |