Analytic properties of the Virasoro modular kernel
Abstract On the space of generic conformal blocks the modular transformation of the underlying surface is realized as a linear integral transformation. We show that the analytic properties of conformal block implied by Zamolodchikov’s formula are shared by the kernel of the modular transformation an...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4947-x |
| _version_ | 1819053993815441408 |
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| author | Nikita Nemkov |
| author_facet | Nikita Nemkov |
| author_sort | Nikita Nemkov |
| collection | DOAJ |
| description | Abstract On the space of generic conformal blocks the modular transformation of the underlying surface is realized as a linear integral transformation. We show that the analytic properties of conformal block implied by Zamolodchikov’s formula are shared by the kernel of the modular transformation and illustrate this by explicit computation in the case of the one-point toric conformal block. |
| first_indexed | 2024-12-21T12:44:34Z |
| format | Article |
| id | doaj.art-28a336d783c946219dcb152084092282 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T12:44:34Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-28a336d783c946219dcb1520840922822022-12-21T19:03:40ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-06-017761710.1140/epjc/s10052-017-4947-xAnalytic properties of the Virasoro modular kernelNikita Nemkov0Moscow Institute of Physics and Technology (MIPT)Abstract On the space of generic conformal blocks the modular transformation of the underlying surface is realized as a linear integral transformation. We show that the analytic properties of conformal block implied by Zamolodchikov’s formula are shared by the kernel of the modular transformation and illustrate this by explicit computation in the case of the one-point toric conformal block.http://link.springer.com/article/10.1140/epjc/s10052-017-4947-x |
| spellingShingle | Nikita Nemkov Analytic properties of the Virasoro modular kernel European Physical Journal C: Particles and Fields |
| title | Analytic properties of the Virasoro modular kernel |
| title_full | Analytic properties of the Virasoro modular kernel |
| title_fullStr | Analytic properties of the Virasoro modular kernel |
| title_full_unstemmed | Analytic properties of the Virasoro modular kernel |
| title_short | Analytic properties of the Virasoro modular kernel |
| title_sort | analytic properties of the virasoro modular kernel |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-4947-x |
| work_keys_str_mv | AT nikitanemkov analyticpropertiesofthevirasoromodularkernel |