Review on the probabilistic construction and Conformal bootstrap in Liouville Theory
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910373739757568 |
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| author | Guillarmou, Colin Kupiainen, Antti Rhodes, Rémi |
| author_facet | Guillarmou, Colin Kupiainen, Antti Rhodes, Rémi |
| contents | In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This model has offered a fruitful playground to unify the probabilistic construction of the path integral, the geometric axiomatics of CFT by Segal and the representation theoretical content of the conformal bootstrap. We explain and extract the main steps and ideas behind the construction and resolution of this non-compact CFT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12780 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Review on the probabilistic construction and Conformal bootstrap in Liouville Theory Guillarmou, Colin Kupiainen, Antti Rhodes, Rémi Mathematical Physics Probability 60D05, 81T40 (Primary) 17B69, 81R10, 17B68 (Secondary) In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This model has offered a fruitful playground to unify the probabilistic construction of the path integral, the geometric axiomatics of CFT by Segal and the representation theoretical content of the conformal bootstrap. We explain and extract the main steps and ideas behind the construction and resolution of this non-compact CFT. |
| title | Review on the probabilistic construction and Conformal bootstrap in Liouville Theory |
| topic | Mathematical Physics Probability 60D05, 81T40 (Primary) 17B69, 81R10, 17B68 (Secondary) |
| url | https://arxiv.org/abs/2403.12780 |