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arXiv · 2302.03698

FI-flows of 3d N=4 Theories

Antoine Bourget·Simone Giacomelli·Julius F. Grimminger
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Abstract

We study the 3d $\mathcal{N}=4$ RG-flows triggered by Fayet-Iliopoulos deformations in unitary quiver theories. These deformations can be implemented by a new quiver algorithm which contains at its heart a problem at the intersection of linear algebra and graph theory. When interpreted as magnetic quivers for SQFTs in various dimensions, our results provide a systematic way to explore RG-flows triggered by mass deformations and generalizations thereof. This is illustrated by case studies of SQCD theories and low rank 4d $\mathcal{N}=2$ SCFTs. A delightful by-product of our work is the discovery of an interesting new 3d mirror pair.

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Antoine Bourget, Simone Giacomelli, Julius F. Grimminger. 2023-02-07. FI-flows of 3d N=4 Theories. https://doi.org/10.1007/jhep04(2023)015

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