Gauge theories on spheres with 16 supercharges and non-constant couplings
We construct a class of theories with 16 supersymmetries on spheres of dimension nine and less. The gauge coupling and mass terms for the scalar fields depend on the polar angle away from the north pole. Assuming finite coupling on the north pole, this leads to zero coupling at the south pole for $d...
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ftdatacite:10.48550/arxiv.1811.11652 2023-05-15T17:39:38+02:00 Gauge theories on spheres with 16 supercharges and non-constant couplings Minahan, Joseph A. Naseer, Usman 2018 https://dx.doi.org/10.48550/arxiv.1811.11652 https://arxiv.org/abs/1811.11652 unknown arXiv https://dx.doi.org/10.1088/1751-8121/ab1ab1 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ High Energy Physics - Theory hep-th FOS Physical sciences article-journal Article ScholarlyArticle Text 2018 ftdatacite https://doi.org/10.48550/arxiv.1811.11652 https://doi.org/10.1088/1751-8121/ab1ab1 2022-04-01T08:54:03Z We construct a class of theories with 16 supersymmetries on spheres of dimension nine and less. The gauge coupling and mass terms for the scalar fields depend on the polar angle away from the north pole. Assuming finite coupling on the north pole, this leads to zero coupling at the south pole for $d>4$ and infinite coupling at the south pole for $d<4$. The underlying supersymmetry algebra of these theories is shown to be isomorphic to the Poincaré superalgebra in $d$-dimensions. We also give a localization procedure which leads to nontrivial results for $d=2$. : 24 pages, two appendices Text North Pole South pole DataCite Metadata Store (German National Library of Science and Technology) South Pole North Pole |
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DataCite Metadata Store (German National Library of Science and Technology) |
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topic |
High Energy Physics - Theory hep-th FOS Physical sciences |
spellingShingle |
High Energy Physics - Theory hep-th FOS Physical sciences Minahan, Joseph A. Naseer, Usman Gauge theories on spheres with 16 supercharges and non-constant couplings |
topic_facet |
High Energy Physics - Theory hep-th FOS Physical sciences |
description |
We construct a class of theories with 16 supersymmetries on spheres of dimension nine and less. The gauge coupling and mass terms for the scalar fields depend on the polar angle away from the north pole. Assuming finite coupling on the north pole, this leads to zero coupling at the south pole for $d>4$ and infinite coupling at the south pole for $d<4$. The underlying supersymmetry algebra of these theories is shown to be isomorphic to the Poincaré superalgebra in $d$-dimensions. We also give a localization procedure which leads to nontrivial results for $d=2$. : 24 pages, two appendices |
format |
Text |
author |
Minahan, Joseph A. Naseer, Usman |
author_facet |
Minahan, Joseph A. Naseer, Usman |
author_sort |
Minahan, Joseph A. |
title |
Gauge theories on spheres with 16 supercharges and non-constant couplings |
title_short |
Gauge theories on spheres with 16 supercharges and non-constant couplings |
title_full |
Gauge theories on spheres with 16 supercharges and non-constant couplings |
title_fullStr |
Gauge theories on spheres with 16 supercharges and non-constant couplings |
title_full_unstemmed |
Gauge theories on spheres with 16 supercharges and non-constant couplings |
title_sort |
gauge theories on spheres with 16 supercharges and non-constant couplings |
publisher |
arXiv |
publishDate |
2018 |
url |
https://dx.doi.org/10.48550/arxiv.1811.11652 https://arxiv.org/abs/1811.11652 |
geographic |
South Pole North Pole |
geographic_facet |
South Pole North Pole |
genre |
North Pole South pole |
genre_facet |
North Pole South pole |
op_relation |
https://dx.doi.org/10.1088/1751-8121/ab1ab1 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1811.11652 https://doi.org/10.1088/1751-8121/ab1ab1 |
_version_ |
1766140409533169664 |