FI-flows of 3d N=4 theories

Journal article

A bstract We study the 3d $$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ N = 2 SCFTs. A delightful by-product of our work is the discovery of an interesting new 3d mirror pair.

Authors: Bourget, A; Giacomelli, S; Grimminger, JF

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Journal: Journal of High Energy Physics
• Volume: 2023
• Issue: 4
• Pages: 15
• Publication date: 2023-04-04
• DOI: 10.1007/jhep04(2023)015
• EISSN: 1029-8479
• ISSN: 1126-6708
• Language: English
• Keywords: Computer science; Geology