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Main Authors: Akhond, Mohammad, Arias-Tamargo, Guillermo, Carta, Federico, Grimminger, Julius F., Hanany, Amihay
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.02491
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author Akhond, Mohammad
Arias-Tamargo, Guillermo
Carta, Federico
Grimminger, Julius F.
Hanany, Amihay
author_facet Akhond, Mohammad
Arias-Tamargo, Guillermo
Carta, Federico
Grimminger, Julius F.
Hanany, Amihay
contents We study Higgs branches of field theories with 8 supercharges in 5 and 6 dimensions, focusing on theories realised on 5-brane webs in Type IIB with an O$7^+$ plane, or a D6-D8-NS5 brane system in Type IIA in the presence of an O$8^+$ plane. We find magnetic quivers for the Higgs branches of these theories. The main consequence of the presence of the orientifold is that it renders the magnetic quiver to be non-simply-laced. We propose a contribution of the O$7^+$ to the usual stable intersection number of 5-branes from tropical geometry, and show that it is consistent with Fayet-Iliopoulos deformations of magnetic quivers which represent mass deformations of 5d SQFTs. From the magnetic quivers, we compute phase diagrams and highest weight generating functions for the Higgs branches, enabling us to identify the global form of the flavour symmetry for several families of 5d SQFTs; among them Bhardwaj's rank-1 theory. For 6d theories realised on a $-4$ curve, we observe the appearance of an additional $D_4$ slice on top of the phase diagram as one goes to the tensionless limit.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02491
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On brane systems with O${}^+$ planes -- 5d and 6d SCFTs
Akhond, Mohammad
Arias-Tamargo, Guillermo
Carta, Federico
Grimminger, Julius F.
Hanany, Amihay
High Energy Physics - Theory
We study Higgs branches of field theories with 8 supercharges in 5 and 6 dimensions, focusing on theories realised on 5-brane webs in Type IIB with an O$7^+$ plane, or a D6-D8-NS5 brane system in Type IIA in the presence of an O$8^+$ plane. We find magnetic quivers for the Higgs branches of these theories. The main consequence of the presence of the orientifold is that it renders the magnetic quiver to be non-simply-laced. We propose a contribution of the O$7^+$ to the usual stable intersection number of 5-branes from tropical geometry, and show that it is consistent with Fayet-Iliopoulos deformations of magnetic quivers which represent mass deformations of 5d SQFTs. From the magnetic quivers, we compute phase diagrams and highest weight generating functions for the Higgs branches, enabling us to identify the global form of the flavour symmetry for several families of 5d SQFTs; among them Bhardwaj's rank-1 theory. For 6d theories realised on a $-4$ curve, we observe the appearance of an additional $D_4$ slice on top of the phase diagram as one goes to the tensionless limit.
title On brane systems with O${}^+$ planes -- 5d and 6d SCFTs
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.02491