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BPS States, String Duality, and Nodal Curves on K3

Shing-Tung Yau, Eric Zaslow

hep-tharXiv:hep-th/9512121

Abstract

We describe the counting of BPS states of Type II strings on K3 by relating the supersymmetric cycles of genus g to the number of rational curves with g double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string.

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