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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1810.00254 |
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| _version_ | 1866916999914848256 |
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| author | Höhn, Gerald Mason, Geoffrey |
| author_facet | Höhn, Gerald Mason, Geoffrey |
| contents | Odd, positive-definite, integral, unimodular lattices N of rank 24 were classified by Borcherds. There are 273 isometry classes of such lattices. Associated to them are vertex superalgebras $V_N$ of central charge c=24. We show that at least 267 of these vertex operator superalgebras contain an N=4 superconformal subalgebra of central charge $c'=6$. This is achieved by studying embeddings $L+\subseteq N$ of a certain rank 6 lattice L+. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_00254 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Most vertex superalgebras associated to an odd unimodular lattice of rank 24 have an N=4 superconformal structure Höhn, Gerald Mason, Geoffrey Quantum Algebra 17B69, 17B81 Odd, positive-definite, integral, unimodular lattices N of rank 24 were classified by Borcherds. There are 273 isometry classes of such lattices. Associated to them are vertex superalgebras $V_N$ of central charge c=24. We show that at least 267 of these vertex operator superalgebras contain an N=4 superconformal subalgebra of central charge $c'=6$. This is achieved by studying embeddings $L+\subseteq N$ of a certain rank 6 lattice L+. |
| title | Most vertex superalgebras associated to an odd unimodular lattice of rank 24 have an N=4 superconformal structure |
| topic | Quantum Algebra 17B69, 17B81 |
| url | https://arxiv.org/abs/1810.00254 |