Hyperbolic string vertices
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 tr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2022)002 |
| _version_ | 1798023911384809472 |
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| author | Kevin Costello Barton Zwiebach |
| author_facet | Kevin Costello Barton Zwiebach |
| author_sort | Kevin Costello |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T17:54:04Z |
| format | Article |
| id | doaj.art-2eaafdf42cc54fdd9891f958a28f0b88 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T17:54:04Z |
| publishDate | 2022-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2eaafdf42cc54fdd9891f958a28f0b882022-12-22T04:10:56ZengSpringerOpenJournal of High Energy Physics1029-84792022-02-012022212910.1007/JHEP02(2022)002Hyperbolic string verticesKevin Costello0Barton Zwiebach1Perimeter Institute of Theoretical PhysicsCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract 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.https://doi.org/10.1007/JHEP02(2022)002Bosonic StringsBRST QuantizationString Field Theory |
| spellingShingle | Kevin Costello Barton Zwiebach Hyperbolic string vertices Journal of High Energy Physics Bosonic Strings BRST Quantization String Field Theory |
| title | Hyperbolic string vertices |
| title_full | Hyperbolic string vertices |
| title_fullStr | Hyperbolic string vertices |
| title_full_unstemmed | Hyperbolic string vertices |
| title_short | Hyperbolic string vertices |
| title_sort | hyperbolic string vertices |
| topic | Bosonic Strings BRST Quantization String Field Theory |
| url | https://doi.org/10.1007/JHEP02(2022)002 |
| work_keys_str_mv | AT kevincostello hyperbolicstringvertices AT bartonzwiebach hyperbolicstringvertices |