106 citations · 298 across the 14 of their papers we have counts for
14 papers
Twisted Elliptic Genera of N=2 SCFTs in Two Dimensions
Toshiya Kawai
The elliptic genera of two-dimensional N=2 superconformal field theories can be twisted by the action of the integral Heisenberg group if their U(1) charges are fractional. The bas…
Abelian Vortices on Nodal and Cuspidal Curves
Toshiya Kawai
We compute the Euler characteristics of the moduli spaces of abelian vortices on curves with nodal and cuspidal singularities. This generalizes our previous work where only nodes w…
String and Vortex
Toshiya Kawai
We discuss how the geometry of - branes may be related to Gromov-Witten theory of Calabi-Yau threefolds.
String Partition Functions and Infinite Products
Toshiya Kawai, Kota Yoshioka
We continue to explore the conjectural expressions of the Gromov-Witten potentials for a class of elliptically and K3 fibered Calabi-Yau 3-folds in the limit where the base P^1 of…
String Duality and Enumeration of Curves by Jacobi Forms
Toshiya Kawai
For a Calabi-Yau threefold admitting both a fibration and an elliptic fibration (with some extra conditions) we discuss candidate asymptotic expressions of the genus 0 and 1 G…
K3 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 contribu…