Global tensor‐matter transitions in F‐theory

We use F‐theory to study gauge algebra preserving transitions of 6d supergravity theories that are connected by superconformal points. While the vector multiplets remain unchanged, the hyper‐ and tensor multiplet sectors are modified. In 6d F‐theory models, these transitions are realized by tuning t...

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Huvudupphovsmän: Dierigl, M, Oehlmann, P, Ruehle, F
Materialtyp: Journal article
Publicerad: Wiley 2018
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author Dierigl, M
Oehlmann, P
Ruehle, F
author_facet Dierigl, M
Oehlmann, P
Ruehle, F
author_sort Dierigl, M
collection OXFORD
description We use F‐theory to study gauge algebra preserving transitions of 6d supergravity theories that are connected by superconformal points. While the vector multiplets remain unchanged, the hyper‐ and tensor multiplet sectors are modified. In 6d F‐theory models, these transitions are realized by tuning the intersection points of two curves, one of them carrying a non‐Abelian gauge algebra, to a (4,6,12) singularity, followed by a resolution in the base. The six‐dimensional supergravity anomaly constraints are strong enough to completely fix the possible non‐Abelian representations and to restrict the Abelian charges in the hypermultiplet sector affected by the transition, as we demonstrate for all Lie algebras and their representations. Furthermore, we present several examples of such transitions in torically resolved fibrations. In these smooth models, superconformal points lead to non‐flat fibers which correspond to non‐toric Kähler deformations of the torus‐fibered Calabi‐Yau 3‐fold geometry.
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spelling oxford-uuid:e8cf0e8b-97ee-428e-aaf4-c4a07a795da92022-03-27T10:49:29ZGlobal tensor‐matter transitions in F‐theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e8cf0e8b-97ee-428e-aaf4-c4a07a795da9Symplectic Elements at OxfordWiley2018Dierigl, MOehlmann, PRuehle, FWe use F‐theory to study gauge algebra preserving transitions of 6d supergravity theories that are connected by superconformal points. While the vector multiplets remain unchanged, the hyper‐ and tensor multiplet sectors are modified. In 6d F‐theory models, these transitions are realized by tuning the intersection points of two curves, one of them carrying a non‐Abelian gauge algebra, to a (4,6,12) singularity, followed by a resolution in the base. The six‐dimensional supergravity anomaly constraints are strong enough to completely fix the possible non‐Abelian representations and to restrict the Abelian charges in the hypermultiplet sector affected by the transition, as we demonstrate for all Lie algebras and their representations. Furthermore, we present several examples of such transitions in torically resolved fibrations. In these smooth models, superconformal points lead to non‐flat fibers which correspond to non‐toric Kähler deformations of the torus‐fibered Calabi‐Yau 3‐fold geometry.
spellingShingle Dierigl, M
Oehlmann, P
Ruehle, F
Global tensor‐matter transitions in F‐theory
title Global tensor‐matter transitions in F‐theory
title_full Global tensor‐matter transitions in F‐theory
title_fullStr Global tensor‐matter transitions in F‐theory
title_full_unstemmed Global tensor‐matter transitions in F‐theory
title_short Global tensor‐matter transitions in F‐theory
title_sort global tensor matter transitions in f theory
work_keys_str_mv AT dieriglm globaltensormattertransitionsinftheory
AT oehlmannp globaltensormattertransitionsinftheory
AT ruehlef globaltensormattertransitionsinftheory