Divergences in the Moduli Space Integral and Accumulating Handles in the Infinite-Genus Limit

Details Divergences in the Moduli Space Integral and Accumulating Handles in the Infinite-Genus Limit Divergences in the Moduli Space Integral and Accumulating Handles in the Infinite-Genus Limit

1994-10-24

arxiv.org/abs/hep-th/9410179v1

J.Math.Phys. 36 (1995) 648-663; Erratum-ibid. 36 (1995) 3866

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, DAMTP-R/94/15

Scientific paper

10.1063/1.531365

The symmetries associated with the closed bosonic string partition function are examined so that the integration region in Teichmuller space can be determined. The conditions on the period matrix defining the fundamental region can be translated to relations on the parameters of the uniformizing Schottky group. The growth of the lower bound for the regularized partition function is derived through integration over a subset of the fundamental region.

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