A Quiver of Many Runaways

TL;DR

This paper investigates quantum corrections in a quiver gauge theory related to D3-branes at a dP_1 singularity, revealing persistent runaway behaviors and connections to geometric deformations of the cone.

Contribution

It uncovers new runaway directions at each step of the duality cascade and links the chiral operator algebra to the deformation of the dP_1 cone.

Findings

Runaway behavior observed at all cascade steps.

Reproduction of Altmann's deformation via chiral operators.

Identification of mesonic branch runaway directions.

Abstract

We study the quantum corrections to the moduli space of the quiver gauge theory corresponding to regular and fractional D3-branes at the dP_1 singularity. We find that besides the known runaway behavior at the lowest step of the duality cascade, there is a runaway direction along a mesonic branch at every higher step of the cascade. Moreover, the algebra of the chiral operators which obtain the large expectation values is such that we reproduce Altmann's first order deformation of the dP_1 cone.