Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane states

Abstract We study D3-brane theories that are dually described as deformations of two different N = 2 $$ \mathcal{N}=2 $$ superconformal theories with massless monopoles and dyons. These arise at the self-intersection of a seven-brane in F-theory, which cuts out a link on a small three-sphere surroun...

Full description

Bibliographic Details
Main Authors: Antonella Grassi, James Halverson, Fabian Ruehle, Julius L. Shaneson
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2017)135
_version_ 1819199887114240000
author Antonella Grassi
James Halverson
Fabian Ruehle
Julius L. Shaneson
author_facet Antonella Grassi
James Halverson
Fabian Ruehle
Julius L. Shaneson
author_sort Antonella Grassi
collection DOAJ
description Abstract We study D3-brane theories that are dually described as deformations of two different N = 2 $$ \mathcal{N}=2 $$ superconformal theories with massless monopoles and dyons. These arise at the self-intersection of a seven-brane in F-theory, which cuts out a link on a small three-sphere surrounding the self-intersection. The spectrum is studied by taking small loops in the three-sphere, yielding a link-induced monodromy action on string junction D3-brane states, and subsequently quotienting by the monodromy. This reduces the differing flavor algebras of the N = 2 $$ \mathcal{N}=2 $$ theories to the same flavor algebra, as required by duality, and projects out charged states, yielding an N = 1 $$ \mathcal{N}=1 $$ superconformal theory on the D3-brane. In one, a deformation of a rank one Argyres-Douglas theory retains its SU(2) flavor symmetry and exhibits a charge neutral flavor triplet that is comprised of electron, dyon, and monopole string junctions. From duality we argue that the monodromy projection should also be imposed away from the conformal point, in which case the D3-brane field theory appears to exhibit confinement of electrons, dyons, and monopoles. We will address the mathematical counterparts in a companion paper.
first_indexed 2024-12-23T03:23:28Z
format Article
id doaj.art-f84dee2e5f1b4083b426d9f3555e4b38
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-12-23T03:23:28Z
publishDate 2017-09-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-f84dee2e5f1b4083b426d9f3555e4b382022-12-21T18:01:56ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017915310.1007/JHEP09(2017)135Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane statesAntonella Grassi0James Halverson1Fabian Ruehle2Julius L. Shaneson3Department of Mathematics, University of Pennsylvania, David Rittenhouse LaboratoryDepartment of Physics, Northeastern UniversityRudolf Peierls Centre for Theoretical Physics, Oxford UniversityDepartment of Mathematics, University of Pennsylvania, David Rittenhouse LaboratoryAbstract We study D3-brane theories that are dually described as deformations of two different N = 2 $$ \mathcal{N}=2 $$ superconformal theories with massless monopoles and dyons. These arise at the self-intersection of a seven-brane in F-theory, which cuts out a link on a small three-sphere surrounding the self-intersection. The spectrum is studied by taking small loops in the three-sphere, yielding a link-induced monodromy action on string junction D3-brane states, and subsequently quotienting by the monodromy. This reduces the differing flavor algebras of the N = 2 $$ \mathcal{N}=2 $$ theories to the same flavor algebra, as required by duality, and projects out charged states, yielding an N = 1 $$ \mathcal{N}=1 $$ superconformal theory on the D3-brane. In one, a deformation of a rank one Argyres-Douglas theory retains its SU(2) flavor symmetry and exhibits a charge neutral flavor triplet that is comprised of electron, dyon, and monopole string junctions. From duality we argue that the monodromy projection should also be imposed away from the conformal point, in which case the D3-brane field theory appears to exhibit confinement of electrons, dyons, and monopoles. We will address the mathematical counterparts in a companion paper.http://link.springer.com/article/10.1007/JHEP09(2017)135F-TheoryDifferential and Algebraic Geometry
spellingShingle Antonella Grassi
James Halverson
Fabian Ruehle
Julius L. Shaneson
Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane states
Journal of High Energy Physics
F-Theory
Differential and Algebraic Geometry
title Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane states
title_full Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane states
title_fullStr Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane states
title_full_unstemmed Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane states
title_short Dualities of deformed N = 2 $$ \mathcal{N}=2 $$ SCFTs from link monodromy on D3-brane states
title_sort dualities of deformed n 2 mathcal n 2 scfts from link monodromy on d3 brane states
topic F-Theory
Differential and Algebraic Geometry
url http://link.springer.com/article/10.1007/JHEP09(2017)135
work_keys_str_mv AT antonellagrassi dualitiesofdeformedn2mathcaln2scftsfromlinkmonodromyond3branestates
AT jameshalverson dualitiesofdeformedn2mathcaln2scftsfromlinkmonodromyond3branestates
AT fabianruehle dualitiesofdeformedn2mathcaln2scftsfromlinkmonodromyond3branestates
AT juliuslshaneson dualitiesofdeformedn2mathcaln2scftsfromlinkmonodromyond3branestates