Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917359587950592 |
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| author | Butorac, Marijana Kožić, Slaven Primc, Mirko |
| author_facet | Butorac, Marijana Kožić, Slaven Primc, Mirko |
| contents | We construct a quasi-particle basis of the integrable highest weight module of highest weight $3Λ_0$ for the twisted affine Lie algebra of type $A_2^{(2)}$ in the principal realization. More specifically, by introducing the concept of polychromatic quasi-particle and finding relations among quasi-particles, we construct the spanning set of the standard module. Finally, its linear independence is proved by using Kanade-Russell and Kurşungöz's Andrews-Gordon type series of Capparelli's identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23120 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity Butorac, Marijana Kožić, Slaven Primc, Mirko Quantum Algebra Representation Theory 17B67, 17B69 We construct a quasi-particle basis of the integrable highest weight module of highest weight $3Λ_0$ for the twisted affine Lie algebra of type $A_2^{(2)}$ in the principal realization. More specifically, by introducing the concept of polychromatic quasi-particle and finding relations among quasi-particles, we construct the spanning set of the standard module. Finally, its linear independence is proved by using Kanade-Russell and Kurşungöz's Andrews-Gordon type series of Capparelli's identities. |
| title | Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity |
| topic | Quantum Algebra Representation Theory 17B67, 17B69 |
| url | https://arxiv.org/abs/2603.23120 |