CFTs with Large Gap from Barnes-Wall Lattice Orbifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866908891720187904 |
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| author | Keller, Christoph A. Roberts, Ashley Winter Roberts, Jeremy |
| author_facet | Keller, Christoph A. Roberts, Ashley Winter Roberts, Jeremy |
| contents | We investigate orbifolds of lattice conformal field theories with the goal of constructing theories with large gap. We consider Barnes-Wall lattices, which are a family of lattices with no short vectors, and orbifold by an extraspecial 2-group of lattice automorphisms. To construct the orbifold CFT, we investigate the orbifold vertex operator algebra and its twisted modules. To obtain a holomorphic CFT, a certain anomaly 3-cocycle $ω$ needs to vanish; based on evidence we provide, we conjecture that it indeed does. Granting this conjecture, we construct a holomorphic CFT of central charge 128 with gap 4. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13646 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | CFTs with Large Gap from Barnes-Wall Lattice Orbifolds Keller, Christoph A. Roberts, Ashley Winter Roberts, Jeremy High Energy Physics - Theory Quantum Algebra We investigate orbifolds of lattice conformal field theories with the goal of constructing theories with large gap. We consider Barnes-Wall lattices, which are a family of lattices with no short vectors, and orbifold by an extraspecial 2-group of lattice automorphisms. To construct the orbifold CFT, we investigate the orbifold vertex operator algebra and its twisted modules. To obtain a holomorphic CFT, a certain anomaly 3-cocycle $ω$ needs to vanish; based on evidence we provide, we conjecture that it indeed does. Granting this conjecture, we construct a holomorphic CFT of central charge 128 with gap 4. |
| title | CFTs with Large Gap from Barnes-Wall Lattice Orbifolds |
| topic | High Energy Physics - Theory Quantum Algebra |
| url | https://arxiv.org/abs/2411.13646 |