Discrete symplectic fermions on double dimers and their Virasoro representation
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915278572486656 |
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| author | Adame-Carrillo, David |
| author_facet | Adame-Carrillo, David |
| contents | A discrete version of the Conformal Field Theory of symplectic fermions is introduced and discussed. Specifically, discrete symplectic fermions are realised as holomorphic observables in the double-dimer model. Using techniques of discrete complex analysis, the space of local fields of discrete symplectic fermions on the square lattice is proven to carry a representation of the Virasoro algebra with central charge $-2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08163 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Discrete symplectic fermions on double dimers and their Virasoro representation Adame-Carrillo, David Mathematical Physics A discrete version of the Conformal Field Theory of symplectic fermions is introduced and discussed. Specifically, discrete symplectic fermions are realised as holomorphic observables in the double-dimer model. Using techniques of discrete complex analysis, the space of local fields of discrete symplectic fermions on the square lattice is proven to carry a representation of the Virasoro algebra with central charge $-2$. |
| title | Discrete symplectic fermions on double dimers and their Virasoro representation |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2304.08163 |