On Type II Strings in Two Dimensions

TL;DR

This paper explores dualities between two-dimensional type II string theories and topological B-models on deformed Calabi-Yau singularities, revealing geometric correspondences based on string spectra and quiver gauge theories.

Contribution

It proposes a novel duality framework connecting perturbed two-dimensional type II strings with topological B-models on specific Calabi-Yau singularities, including explicit partition functions.

Findings

Duality between perturbed type II strings and topological B-models.

Identification of conifold and suspended pinch point geometries based on spectra.

Explicit all-orders perturbative partition function derived from quiver gauge theories.

Abstract

We consider type IIA/B strings in two-dimensions and their projection with respect to the nilpotent space-time supercharge. Based on the ground ring structure, we propose a duality between perturbed type II strings and the topological B-model on deformed Calabi-Yau singularities. Depending on the type II spectra, one has either the conifold or the suspended pinch point geometry. Using the corresponding quiver gauge theory, obtained by D-branes wrapping in the resolved suspended pinch point geometry, we propose the all orders perturbative partition function.