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- W4318333078 abstract "Abstract Every Riemann surface with genus g and n punctures admits a hyperbolic metric, if 2g − 2 + n > 0. Such a surface can be decomposed into pairs of pants whose boundaries are geodesics. We construct a string field theory for closed bosonic strings based on this pants decomposition. In order to do so, we derive a recursion relation satisfied by the off-shell amplitudes, using Mirzakhani’s scheme for computing integrals over the moduli space of bordered Riemann surfaces. The recursion relation can be turned into a string field theory via the Fokker–Planck formalism. The Fokker–Planck Hamiltonian consists of kinetic terms and three-string vertices. Unfortunately, the worldsheet BRST symmetry is not manifest in the theory thus constructed. We will show that the invariance can be made manifest by introducing auxiliary fields." @default.
- W4318333078 created "2023-01-28" @default.
- W4318333078 creator A5000015307 @default.
- W4318333078 date "2023-01-27" @default.
- W4318333078 modified "2023-09-25" @default.
- W4318333078 title "The Fokker–Planck formalism for closed bosonic strings" @default.
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- W4318333078 doi "https://doi.org/10.1093/ptep/ptad014" @default.
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