Hyperbolic string tadpole
Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory. We argue that the Lamé equation, upon fixing its accessory pa...
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| Published in | SciPost physics Vol. 15; no. 6; p. 237 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Netherlands
Stichting SciPost
01.12.2023
SciPost |
| Online Access | Get full text |
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| Summary: | Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory. We argue that the Lamé equation, upon fixing its accessory parameter via Polyakov conjecture, provides the input for the characterization. The explicit expressions for the Weil-Petersson metric as well as the local coordinates and the associated vertex region for the tadpole vertex are given in terms of classical torus conformal blocks. The relevance of this vertex for vacuum shift computations in string theory is highlighted. |
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| Bibliography: | USDOE SC0012567 |
| ISSN: | 2542-4653 2542-4653 |
| DOI: | 10.21468/SciPostPhys.15.6.237 |