12,418 research outputs found
Divergences in the Moduli Space Integral and Accumulating Handles in the Infinite-Genus Limit
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.Comment: 26 pages, DAMTP-R/94/1
Configurations of Handles and the Classification of Divergences in the String Partition Function
The divergences that arise in the regularized partition function for closed
bosonic string theory in flat space lead to three types of perturbation series
expansions, distinguished by their genus dependence. This classification of
infinities can be traced to geometrical characteristics of the string
worldsheet. Some categories of divergences may be eliminated in string theories
formulated on compact manifolds.Comment: 24 pages, DAMTP-R/94/1
- …