Strebel differentials and string field theory
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910452253982720 |
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| author | Ishibashi, Nobuyuki |
| author_facet | Ishibashi, Nobuyuki |
| contents | A closed string worldsheet of genus $g$ with $n$ punctures can be presented as a contact interaction in which $n$ semi-infinite cylinders are glued together in a specific way via the Strebel differential on it, if $n\geq1,\ 2g-2+n>0$. We construct a string field theory of closed strings such that all the Feynman diagrams are represented by such contact interactions. In order to do so, we define off-shell amplitudes in the underlying string theory using the combinatorial Fenchel-Nielsen coordinates to describe the moduli space and derive a recursion relation satisfied by them. Utilizing the Fokker-Planck formalism, we construct a string field theory from which the recursion relation can be deduced through the Schwinger-Dyson equation. The Fokker-Planck Hamiltonian consists of kinetic terms and three string interaction terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09641 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strebel differentials and string field theory Ishibashi, Nobuyuki High Energy Physics - Theory A closed string worldsheet of genus $g$ with $n$ punctures can be presented as a contact interaction in which $n$ semi-infinite cylinders are glued together in a specific way via the Strebel differential on it, if $n\geq1,\ 2g-2+n>0$. We construct a string field theory of closed strings such that all the Feynman diagrams are represented by such contact interactions. In order to do so, we define off-shell amplitudes in the underlying string theory using the combinatorial Fenchel-Nielsen coordinates to describe the moduli space and derive a recursion relation satisfied by them. Utilizing the Fokker-Planck formalism, we construct a string field theory from which the recursion relation can be deduced through the Schwinger-Dyson equation. The Fokker-Planck Hamiltonian consists of kinetic terms and three string interaction terms. |
| title | Strebel differentials and string field theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.09641 |