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5d SCFTs and their non-supersymmetric cousins

Akhond, Mohammad
•
Honda, Masazumi
•
Mignosa, Francesco
2024
  • journal article

Periodico
SCIPOST PHYSICS
Abstract
We consider generalisations of the recently proposed supersymmetry breaking deformation of the 5d rank -1 E1 superconformal field theory to higher rank. We generalise the arguments to theories which admit a mass deformation leading to gauge theories coupled to matter hypermultiplets at low energies. These theories have a richer space of non-supersymmetric deformations, due to the existence of a larger global symmetry. We show that there is a one-to-one correspondence between the non-SUSY deformations of the gauge theory and their (p, q) 5-brane web. We comment on the (in)stability of these deformations both from the gauge theory and the 5-brane web point of view. UV duality plays a key role in our analysis, fixing the effective Chern-Simons level for the background vector multiplets, together with their complete prepotential. We partially classify super -Yang -Mills theories known to enjoy UV dualities which show a phase transition where different phases are separated by a jump of Chern-Simons levels of both a perturbative and an instantonic global symmetry. When this transition can be reached by turning on a non-supersymmetric deformation of the UV superconformal field theory, it can be a good candidate to host a 5d non-supersymmetric CFT. We also discuss consistency of the proposed phase diagram with the 't Hooft anomalies of the models that we analyse.
DOI
10.21468/scipostphys.16.1.036
WOS
WOS:001155580400002
Archivio
https://hdl.handle.net/20.500.11767/142330
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85188966580
https://arxiv.org/abs/2307.13724
https://ricerca.unityfvg.it/handle/20.500.11767/142330
Diritti
open access
google-scholar
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