FI-flows of 3d N=4 theories

Antoine Bourget; Simone Giacomelli; Julius F. Grimminger

doi:10.1007/JHEP04(2023)015

FI-flows of 3d N=4 theories

Antoine Bourget
, Simone Giacomelli
, Julius F. Grimminger

Université Paris-Saclay
Center for Atomic-scale Materials Physics (CAMP)
University of Milano-Bicocca
INFN Sezione di Milano-Bicocca
Theoretical Physics Group
Imperial College London

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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

Original language	English
Article number	15
Journal	Journal of High Energy Physics
Volume	2023
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2023)015
Publication status	Published - 1 Apr 2023
Externally published	Yes

Keywords

Brane Dynamics in Gauge Theories
Differential and Algebraic Geometry
Extended Supersymmetry
Supersymmetric Gauge Theory

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10.1007/JHEP04(2023)015

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title = "FI-flows of 3d N=4 theories",

abstract = "We study the 3d 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 N = 2 SCFTs. A delightful by-product of our work is the discovery of an interesting new 3d mirror pair.",

keywords = "Brane Dynamics in Gauge Theories, Differential and Algebraic Geometry, Extended Supersymmetry, Supersymmetric Gauge Theory",

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doi = "10.1007/JHEP04(2023)015",

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T1 - FI-flows of 3d N=4 theories

AU - Bourget, Antoine

AU - Giacomelli, Simone

AU - Grimminger, Julius F.

PY - 2023/4/1

Y1 - 2023/4/1

N2 - We study the 3d 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 N = 2 SCFTs. A delightful by-product of our work is the discovery of an interesting new 3d mirror pair.

AB - We study the 3d 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 N = 2 SCFTs. A delightful by-product of our work is the discovery of an interesting new 3d mirror pair.

KW - Brane Dynamics in Gauge Theories

KW - Differential and Algebraic Geometry

KW - Extended Supersymmetry

KW - Supersymmetric Gauge Theory

UR - https://www.scopus.com/pages/publications/85152794576

U2 - 10.1007/JHEP04(2023)015

DO - 10.1007/JHEP04(2023)015

M3 - Article

AN - SCOPUS:85152794576

SN - 1126-6708

VL - 2023

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 4

M1 - 15

ER -

FI-flows of 3d N=4 theories

Abstract

Keywords

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