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Effectively Closed Infinite-Genus Surfaces and the String Coupling | | Simon Davis
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10 Dec 2003 | | Journal: | Int.J.Mod.Phys. A20 (2005) 821-850 | | Subject: | 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 $g o infty$ 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. | | Source: | arXiv, hep-th/0312101 | | Services: | Forum | Review | PDF | Favorites | |
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