106 citations · 298 across the 14 of their papers we have counts for
14 papers · 1 filter
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…
String Duality and Modular Forms
Toshiya Kawai
Tests of duality between heterotic strings on (restricted on certain Narain moduli subspaces) and type IIA strings on K3-fibered Calabi-Yau threefolds are attempted…
heterotic string threshold correction, surface and generalized Kac-Moody superalgebra
Toshiya Kawai
We study a standard-embedding heterotic string compactification on with a Wilson line turned on and perform a world-sheet calculation of string threshold corre…
Duality of Orbifoldized Elliptic Genera
Toshiya Kawai, Sung-Kil Yang
We discuss duality and mirror symmetry phenomena of Landau-Ginzburg orbifolds considering their elliptic genera. Under the duality (or mirror) transform performed by orbifoldizing…
Elliptic Genera of N=2 Hermitian Symmetric Space Models
Toshiya Kawai
Expressions are given for the elliptic genera of the Kazama-Suzuki models associated with hermitian symmetric spaces when the problems of field identifications are absent. We use t…
Geometry of (0,2) Landau-Ginzburg Orbifolds
Toshiya Kawai, Kenji Mohri
Several aspects of (0,2) Landau-Ginzburg orbifolds are investigated. Especially the elliptic genera are computed in general and, for a class of models recently invented by Distler…
Elliptic Genera and N=2 Superconformal Field Theory
Toshiya Kawai, Yasuhiko Yamada, Sung-Kil Yang
Recently Witten proposed to consider elliptic genus in superconformal field theory to understand the relation between minimal models and Landau-Ginzburg theories. In th…
Higher-Rank Supersymmetric Models and Topological Field Theory
Toshiya Kawai, Taku Uchino, Sung-Kil Yang
In the first part of this paper we investigate the operator aspect of higher-rank supersymmetric model which is introduced as a Lie theoretic extension of the minimal model w…
Higher-Rank Supersymmetry and Topological Field Theory
Toshiya Kawai, Taku Uchino, Sun-Kil Yang
The minimal superconformal model can be twisted yielding an example of topological conformal field theory. In this article we investigate a Lie theoretic extension of this pr…