BPS States, String Duality, and Nodal Curves on K3

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, harvmac

Scientific paper

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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