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Nonrenormalization of Mass of Some Nonsupersymmetric String States

arXiv:hep-th/9705239 · doi:10.1016/S0550-3213(98)00160-6

Abstract

It is argued that the quantum correction to the mass of some very massive, nonsupersymmetric states vanishes in inverse proportion to their tree-level mass to all orders in string loops. This approximate nonrenormalization can explain the agreement between the perturbative degeneracy of these states and the Sen entropy of the associated black holes.

Additional details provided, in particular, of the analytic continuation of the two point function. Discussion of higher loops substantially amplified. References added, conclusions unchanged; 19 pages, harvmac