From pq-webs to magnetic quivers and back I: dictionary and deformations
Abstract
This is the first of two companion papers in which we study five-dimensional 𝒩=1 theories engineered by (p,q) five-brane webs and their associated three-dimensional 𝒩=4 magnetic quivers. We focus on the N+SU(N)0k−1+N box quiver theories. We propose an exact parameter dictionary relating the five-dimensional flavour masses and instanton couplings to the Fayet-Iliopoulos parameters of the corresponding strong-coupling magnetic quiver. We test this dictionary through a broad class of deformations, including mass deformations, weak-coupling limits, and vacuum expectation values. On the five-dimensional side, we implement these flows directly at the level of the superconformal index. The dictionary fixes the corresponding FI deformations and monopole VEVs. We analyse them in the magnetic-quiver squashed-sphere partition function using a new method that tracks Higgsing, decoupled sectors, and infrared theories. Our results promote magnetic quivers to tools for the quantitative study of how the five-dimensional superconformal index responds to deformations. Once the parameter dictionary is known, exact three-dimensional observables can be used to reconstruct the corresponding five-dimensional physics and to navigate the full deformation network in both directions.
Related
- From pq-webs to magnetic quivers and back II: distributional indices and 5d theories breaking bad
- Spin(N) magnetic quivers
- Adiabatic Deformations of Black Hole Moduli: II. The Magnetic GHS Family
- Convergence of Nekrasov instanton sum for unitary quivers
- M-theory geometries from five-brane webs, seven-branes, and T-branes
BibTeX
@misc{garavaglia2026from,
title = {{From pq-webs to magnetic quivers and back I: dictionary and deformations}},
author = {Sebastiano Garavaglia and Sara Pasquetti and Palash Singh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38769},
eprint = {2610.38769},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38769},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - From pq-webs to magnetic quivers and back I: dictionary and deformations
AU - Sebastiano Garavaglia
AU - Sara Pasquetti
AU - Palash Singh
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38769
UR - https://arxiv.org/abs/2610.38769
AB - This is the first of two companion papers in which we study five-dimensional 𝒩=1 theories engineered by (p,q) five-brane webs and their associated three-dimensional 𝒩=4 magnetic quivers. We focus on the N+SU(N)_0^k−1+N box quiver theories. We propose an exact parameter dictionary relating the five-dimensional flavour masses and instanton couplings to the Fayet-Iliopoulos parameters of the corresponding strong-coupling magnetic quiver. We test this dictionary through a broad class of deformations, including mass deformations, weak-coupling limits, and vacuum expectation values. On the five-dimensional side, we implement these flows directly at the level of the superconformal index. The dictionary fixes the corresponding FI deformations and monopole VEVs. We analyse them in the magnetic-quiver squashed-sphere partition function using a new method that tracks Higgsing, decoupled sectors, and infrared theories. Our results promote magnetic quivers to tools for the quantitative study of how the five-dimensional superconformal index responds to deformations. Once the parameter dictionary is known, exact three-dimensional observables can be used to reconstruct the corresponding five-dimensional physics and to navigate the full deformation network in both directions.
ER -