New dualities and misleading anomaly matchings from outer-automorphism twists
Abstract We study four-dimensional N = 1 , 2 $$ \mathcal{N}=1,\ 2 $$ superconformal theories in class S $$ \mathcal{S} $$ obtained by compactifying the 6d N = 2 , 0 $$ \mathcal{N}=\left(2,\ 0\right) $$ theory on a Riemann surface C $$ \mathcal{C} $$ with outer-automorphism twist lines. From the pair...
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Online Access: | http://link.springer.com/article/10.1007/JHEP03(2017)159 |
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doaj-0290cbe93209482abf9303f10a7bf7b22020-11-24T21:48:17ZengSpringerOpenJournal of High Energy Physics1029-84792017-03-012017312710.1007/JHEP03(2017)159New dualities and misleading anomaly matchings from outer-automorphism twistsSridip Pal0Jaewon Song1Department of Physics, University of California, San DiegoDepartment of Physics, University of California, San DiegoAbstract We study four-dimensional N = 1 , 2 $$ \mathcal{N}=1,\ 2 $$ superconformal theories in class S $$ \mathcal{S} $$ obtained by compactifying the 6d N = 2 , 0 $$ \mathcal{N}=\left(2,\ 0\right) $$ theory on a Riemann surface C $$ \mathcal{C} $$ with outer-automorphism twist lines. From the pair-of-pants decompositions of C $$ \mathcal{C} $$ , we find various dual descriptions for the same theory having distinct gauge groups. We show that the various configurations of the twist line give rise to dual descriptions for the identical theory. We compute the ’t Hooft anomaly coefficients and the superconformal indices to test dualities. Surprisingly, we find that the class S $$ \mathcal{S} $$ theories with twist lines wrapping 1-cycles of C $$ \mathcal{C} $$ have the identical ’t Hooft anomalies as the ones without the twist line, whereas the superconformal indices differ. This provides a large set of examples where the anomaly matching is insufficient to test dualities.http://link.springer.com/article/10.1007/JHEP03(2017)159Anomalies in Field and String TheoriesSupersymmetric Gauge TheorySupersymmetry and DualityM-Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sridip Pal Jaewon Song |
spellingShingle |
Sridip Pal Jaewon Song New dualities and misleading anomaly matchings from outer-automorphism twists Journal of High Energy Physics Anomalies in Field and String Theories Supersymmetric Gauge Theory Supersymmetry and Duality M-Theory |
author_facet |
Sridip Pal Jaewon Song |
author_sort |
Sridip Pal |
title |
New dualities and misleading anomaly matchings from outer-automorphism twists |
title_short |
New dualities and misleading anomaly matchings from outer-automorphism twists |
title_full |
New dualities and misleading anomaly matchings from outer-automorphism twists |
title_fullStr |
New dualities and misleading anomaly matchings from outer-automorphism twists |
title_full_unstemmed |
New dualities and misleading anomaly matchings from outer-automorphism twists |
title_sort |
new dualities and misleading anomaly matchings from outer-automorphism twists |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-03-01 |
description |
Abstract We study four-dimensional N = 1 , 2 $$ \mathcal{N}=1,\ 2 $$ superconformal theories in class S $$ \mathcal{S} $$ obtained by compactifying the 6d N = 2 , 0 $$ \mathcal{N}=\left(2,\ 0\right) $$ theory on a Riemann surface C $$ \mathcal{C} $$ with outer-automorphism twist lines. From the pair-of-pants decompositions of C $$ \mathcal{C} $$ , we find various dual descriptions for the same theory having distinct gauge groups. We show that the various configurations of the twist line give rise to dual descriptions for the identical theory. We compute the ’t Hooft anomaly coefficients and the superconformal indices to test dualities. Surprisingly, we find that the class S $$ \mathcal{S} $$ theories with twist lines wrapping 1-cycles of C $$ \mathcal{C} $$ have the identical ’t Hooft anomalies as the ones without the twist line, whereas the superconformal indices differ. This provides a large set of examples where the anomaly matching is insufficient to test dualities. |
topic |
Anomalies in Field and String Theories Supersymmetric Gauge Theory Supersymmetry and Duality M-Theory |
url |
http://link.springer.com/article/10.1007/JHEP03(2017)159 |
work_keys_str_mv |
AT sridippal newdualitiesandmisleadinganomalymatchingsfromouterautomorphismtwists AT jaewonsong newdualitiesandmisleadinganomalymatchingsfromouterautomorphismtwists |
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1725893072280092672 |