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Hyperbolic string vertices
Name
13130_2022_Article_17687.pdf
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499.73 KB
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Unknown
Checksum (MD5)
00b1e6f9cfae3189c93dc57dff05eb76
Author(s)
Costello, Kevin
Zwiebach, Barton
Date Issued
February 2022
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2022 Feb 01;2022(2):2
Version
Final published version
Abstract
Abstract
The string vertices of closed string field theory are subsets of the moduli spaces of punctured Riemann surfaces that satisfy a geometric version of the Batalin-Vilkovisky master equation. We present a homological proof of existence of string vertices and their uniqueness up to canonical transformations. Using hyperbolic metrics on surfaces with geodesic boundaries we give an exact construction of string vertices as sets of surfaces with systole greater than or equal to L with L ≤ 2 arcsinh 1. Intrinsic hyperbolic collars prevent the appearance of short geodesics upon sewing. The surfaces generated by Feynman diagrams are naturally endowed with Thurston metrics: hyperbolic on the vertices and flat on the propagators. For the classical theory the length L is arbitrary and, as L → ∞ hyperbolic vertices become the minimal-area vertices of closed string theory.
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DOI of Published Version
https://doi.org/10.1007/JHEP02(2022)002
