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BPS States, String Duality, and Nodal Curves on K3

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.

preprint1995arXivOpen access
Shing-Tung YauEric Zaslow
alg-geommath.AGhep-th
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Shing-Tung YauEric Zaslow

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