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 |
| Summary: | 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. |
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| ISSN: | 1434-6044 1434-6052 |