Large c Virasoro blocks from monodromy method beyond known limits
Abstract In this paper, we study large c Virasoro blocks by using the Zamolodchikov monodromy method beyond its known limits. We give an analytic proof of our recent conjecture [1, 2], which implied that the asymptotics of the large c conformal blocks can be expressed in very simple forms, even if o...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2018)161 |
| _version_ | 1818134780678504448 |
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| author | Yuya Kusuki |
| author_facet | Yuya Kusuki |
| author_sort | Yuya Kusuki |
| collection | DOAJ |
| description | Abstract In this paper, we study large c Virasoro blocks by using the Zamolodchikov monodromy method beyond its known limits. We give an analytic proof of our recent conjecture [1, 2], which implied that the asymptotics of the large c conformal blocks can be expressed in very simple forms, even if outside its known limits, namely the semiclassical limit or the heavy-light limit. In particular, we analytically discuss the fact that the asymptotic behavior of large c conformal blocks drastically changes when the dimensions of external primary states reach the value c32 $$ \frac{c}{32} $$, which is conjectured by our numerical studies. The results presented in this work imply that the general solutions to the Zamolodchikov recursion relation are given by Cardy-like formula, which is an important conclusion that can be numerically drawn from our recent work [1, 2]. Mathematical derivations and analytical results imply that, in the bulk, the collision behavior between two heavy particles may undergo a remarkable transition associated with their masses. |
| first_indexed | 2024-12-11T09:14:04Z |
| format | Article |
| id | doaj.art-d95560e03f1047029700e0622d59bf70 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T09:14:04Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d95560e03f1047029700e0622d59bf702022-12-22T01:13:26ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018812110.1007/JHEP08(2018)161Large c Virasoro blocks from monodromy method beyond known limitsYuya Kusuki0Center for Gravitational Physics, Yukawa Institute for Theoretical Physics (YITP), Kyoto UniversityAbstract In this paper, we study large c Virasoro blocks by using the Zamolodchikov monodromy method beyond its known limits. We give an analytic proof of our recent conjecture [1, 2], which implied that the asymptotics of the large c conformal blocks can be expressed in very simple forms, even if outside its known limits, namely the semiclassical limit or the heavy-light limit. In particular, we analytically discuss the fact that the asymptotic behavior of large c conformal blocks drastically changes when the dimensions of external primary states reach the value c32 $$ \frac{c}{32} $$, which is conjectured by our numerical studies. The results presented in this work imply that the general solutions to the Zamolodchikov recursion relation are given by Cardy-like formula, which is an important conclusion that can be numerically drawn from our recent work [1, 2]. Mathematical derivations and analytical results imply that, in the bulk, the collision behavior between two heavy particles may undergo a remarkable transition associated with their masses.http://link.springer.com/article/10.1007/JHEP08(2018)161Conformal Field TheoryAdS-CFT Correspondence |
| spellingShingle | Yuya Kusuki Large c Virasoro blocks from monodromy method beyond known limits Journal of High Energy Physics Conformal Field Theory AdS-CFT Correspondence |
| title | Large c Virasoro blocks from monodromy method beyond known limits |
| title_full | Large c Virasoro blocks from monodromy method beyond known limits |
| title_fullStr | Large c Virasoro blocks from monodromy method beyond known limits |
| title_full_unstemmed | Large c Virasoro blocks from monodromy method beyond known limits |
| title_short | Large c Virasoro blocks from monodromy method beyond known limits |
| title_sort | large c virasoro blocks from monodromy method beyond known limits |
| topic | Conformal Field Theory AdS-CFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP08(2018)161 |
| work_keys_str_mv | AT yuyakusuki largecvirasoroblocksfrommonodromymethodbeyondknownlimits |