Open-Closed String Duality from Orbifolded Conifolds

TL;DR

This paper explores a duality between open and closed strings in certain supersymmetric gauge theories derived from orbifolded conifolds, using geometric transitions in toric Calabi-Yau manifolds and dual string theory perspectives.

Contribution

It proposes a new open-closed string duality framework for ${ m N}=1$ theories from orbifolded conifolds, incorporating geometric transitions and dual string theory descriptions.

Findings

Establishment of open-closed string duality via geometric transition.

Analysis of strong coupling effects in deformed geometries.

Connection between type IIB, type IIA, and M-theory perspectives.

Abstract

We study large N dualities for a class of ${\cal N} = 1$ theories realized on type IIB D5 branes wrapping 2-cycles of local Calabi-Yau threefolds which is obtained from resolving orbifolded conifolds or as effective field theories on D4 branes in type IIA brane configurations. The field theory is $\mathcal{N} =1$ supersymmetric $\prod U(N_{ij})$ Yang-Mills gauge theory. Strong coupling effects are analyzed in the deformed geometry. We propose open-closed string duality via a geometric transition in toric geometry. The T-dual type IIA picture and M-theory lifting are also considered.