3D dualities and supersymmetry enhancement from domain walls
Abstract We test recently proposed IR dualities and supersymmetry enhancement by studying the supersymmetry on domain walls. In the SU(3) Wess-Zumino model studied in [1, 2], we show that domain walls exhibit supersymmetry enhancement. This model was conjectured to be dual to an N $$ \mathcal{N} $$...
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doaj-9d913322ef47446d8c78d0757b618d782020-11-25T02:46:29ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191014210.1007/JHEP10(2019)0973D dualities and supersymmetry enhancement from domain wallsMartin Roček0Konstantinos Roumpedakis1Sahand Seifnashri2C.N. Yang Institute for Theoretical Physics, Stony Brook UniversityC.N. Yang Institute for Theoretical Physics, Stony Brook UniversitySimons Center for Geometry and Physics, Stony Brook UniversityAbstract We test recently proposed IR dualities and supersymmetry enhancement by studying the supersymmetry on domain walls. In the SU(3) Wess-Zumino model studied in [1, 2], we show that domain walls exhibit supersymmetry enhancement. This model was conjectured to be dual to an N $$ \mathcal{N} $$ = 2 abelian gauge theory. We show that domain walls on the gauge theory side are consistent with the proposed duality, as they are described by the same effective theory on the wall. In [3], a third model was conjectured to be dual to the same IR theory. We study the phases and domain walls of this model and we show that they also agree. We then consider the analogous SU(5) Wess-Zumino model, and study its mass deformations and phases. We argue that even though one might expect supersymmetry enhancement in this model as well, the analysis of its domain walls shows that there is none. Finally, we study the N $$ \mathcal{N} $$ = 2 model in [4] which was conjectured to have N $$ \mathcal{N} $$ = 4 supersymmetry in the IR. In this case we don't see the supersymmetry enhancement on the domain wall; however, we argue that half-BPS domain walls of the N $$ \mathcal{N} $$ = 2 algebra are quarter-BPS of the N $$ \mathcal{N} $$ = 4 algebra. This is then in agreement with the conjectured enhancement, even though it does not show that it takes place.http://link.springer.com/article/10.1007/JHEP10(2019)097Solitons Monopoles and InstantonsSupersymmetric Gauge TheoryChern Simons TheoriesDuality in Gauge Field Theories |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Martin Roček Konstantinos Roumpedakis Sahand Seifnashri |
spellingShingle |
Martin Roček Konstantinos Roumpedakis Sahand Seifnashri 3D dualities and supersymmetry enhancement from domain walls Journal of High Energy Physics Solitons Monopoles and Instantons Supersymmetric Gauge Theory Chern Simons Theories Duality in Gauge Field Theories |
author_facet |
Martin Roček Konstantinos Roumpedakis Sahand Seifnashri |
author_sort |
Martin Roček |
title |
3D dualities and supersymmetry enhancement from domain walls |
title_short |
3D dualities and supersymmetry enhancement from domain walls |
title_full |
3D dualities and supersymmetry enhancement from domain walls |
title_fullStr |
3D dualities and supersymmetry enhancement from domain walls |
title_full_unstemmed |
3D dualities and supersymmetry enhancement from domain walls |
title_sort |
3d dualities and supersymmetry enhancement from domain walls |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-10-01 |
description |
Abstract We test recently proposed IR dualities and supersymmetry enhancement by studying the supersymmetry on domain walls. In the SU(3) Wess-Zumino model studied in [1, 2], we show that domain walls exhibit supersymmetry enhancement. This model was conjectured to be dual to an N $$ \mathcal{N} $$ = 2 abelian gauge theory. We show that domain walls on the gauge theory side are consistent with the proposed duality, as they are described by the same effective theory on the wall. In [3], a third model was conjectured to be dual to the same IR theory. We study the phases and domain walls of this model and we show that they also agree. We then consider the analogous SU(5) Wess-Zumino model, and study its mass deformations and phases. We argue that even though one might expect supersymmetry enhancement in this model as well, the analysis of its domain walls shows that there is none. Finally, we study the N $$ \mathcal{N} $$ = 2 model in [4] which was conjectured to have N $$ \mathcal{N} $$ = 4 supersymmetry in the IR. In this case we don't see the supersymmetry enhancement on the domain wall; however, we argue that half-BPS domain walls of the N $$ \mathcal{N} $$ = 2 algebra are quarter-BPS of the N $$ \mathcal{N} $$ = 4 algebra. This is then in agreement with the conjectured enhancement, even though it does not show that it takes place. |
topic |
Solitons Monopoles and Instantons Supersymmetric Gauge Theory Chern Simons Theories Duality in Gauge Field Theories |
url |
http://link.springer.com/article/10.1007/JHEP10(2019)097 |
work_keys_str_mv |
AT martinrocek 3ddualitiesandsupersymmetryenhancementfromdomainwalls AT konstantinosroumpedakis 3ddualitiesandsupersymmetryenhancementfromdomainwalls AT sahandseifnashri 3ddualitiesandsupersymmetryenhancementfromdomainwalls |
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