### Effectively Closed Infinite-Genus Surfaces and the String CouplingEffectively Closed Infinite-Genus Surfaces and the String Coupling

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 Author Davis, Simon Source arXiv.org Content type Text File Format PDF Date of Submission 2003-12-09 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ physics:hep-th Abstract The class of effectively closed infinite-genus surfaces, defining the completion of the domain of string perturbation theory, can be included in the category $O_G$, which is characterized by the vanishing capacity of the ideal boundary. The cardinality of the maximal set of endpoints is shown to be $2^{\mit N}$. The product of the coefficient of the genus-g superstring amplitude in four dimensions by $2^g$ in the $g\to \infty$ limit is an exponential function of the genus with a base comparable in magnitude to the unified gauge coupling. The value of the string coupling is consistent with the characteristics of configurations which provide a dominant contribution to a finite vacuum amplitude. Description Reference: Int.J.Mod.Phys. A20 (2005) 821-850 Educational Use Research Learning Resource Type Article Page Count 33