ar X iv : h ep - t h / 97 10 01 6 v 1 2 O ct 1 99 7 K 3 Surfaces , Igusa Cusp Form and String Theory

ar X iv : h ep - t h / 97 10 01 6 v 4 2 9 O ct 1 99 7 K 3 Surfaces , Igusa Cusp Form and String Theory

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

ar X iv : h ep - t h / 97 10 01 6 v 5 2 6 N ov 1 99 7 K 3 Surfaces , Igusa Cusp Form and String Theory Toshiya Kawai

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

97 10 01 6 v 3 8 O ct 1 99 7 K 3 Surfaces , Igusa Cusp Form and String Theory

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

ar X iv : h ep - t h / 97 10 01 4 v 2 2 3 O ct 1 99 7 hep - th / 9710014 SEMICLASSICAL DECAY OF NEAR - EXTREMAL FIVEBRANES

We argue that a near-extremal charge-k type II NS fivebrane can be reliably described in semiclassical string perturbation theory as long as both k and µ k are large, where µ is the energy density in string units. For a small value of the asymptotic string coupling g, the dynamics in the throat surrounding the fivebrane reduces to the CGHS model with massive fields. We find that the energy dens...

ar X iv : h ep - t h / 97 09 01 6 v 1 2 S ep 1 99 7 Free boson representation of DY h̄ ( gl N ) k