Bootstrapping closed string field theory
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13130_2023_Article_20937.pdf
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79dfc743923439240845d1b4f77ad91b
Author(s)
Fırat, Atakan H.
Date Issued
May 23, 2023
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2023 May 23;2023(5):186
Version
Final published version
Abstract
Abstract
The determination of the string vertices of closed string field theory is shown to be a conformal field theory problem solvable by combining insights from Liouville theory, hyperbolic geometry, and conformal bootstrap. We first demonstrate how Strebel differentials arise from hyperbolic string vertices by performing a WKB approximation to the associated Fuchsian equation, which we subsequently use it to derive a Polyakov-like conjecture for Strebel differentials. This result implies that the string vertices are generated by the interactions of n zero momentum tachyons, or equivalently, a certain limit of suitably regularized on-shell Liouville action. We argue that the latter can be related to the interaction of three zero momentum tachyons on a generalized cubic vertex through classical conformal blocks. We test this claim for the quartic vertex and discuss its generalization to higher-string interactions.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2023)186
