On the class S $$ \mathcal{S} $$ origin of spindle solutions

Abstract We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual N $$ \mathcal{N} $$ = 1 superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond t...

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Main Authors: Pieter Bomans, Christopher Couzens
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2024)036
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author Pieter Bomans
Christopher Couzens
author_facet Pieter Bomans
Christopher Couzens
author_sort Pieter Bomans
collection DOAJ
description Abstract We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual N $$ \mathcal{N} $$ = 1 superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond to C 3/Z n conical singularities. Therefore, these solutions present one of the first explicit realisations of honest locally N $$ \mathcal{N} $$ = 1 preserving punctures in class S $$ \mathcal{S} $$ . Additionally we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. This work paves the way for advancements in the study and identification of the precise dual field theories.
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spelling doaj-art-e0c15db9f8ed4a28a30f0d718a57ad0d2025-08-20T02:31:04ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241014010.1007/JHEP10(2024)036On the class S $$ \mathcal{S} $$ origin of spindle solutionsPieter Bomans0Christopher Couzens1Mathematical Institute, University of OxfordMathematical Institute, University of OxfordAbstract We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual N $$ \mathcal{N} $$ = 1 superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond to C 3/Z n conical singularities. Therefore, these solutions present one of the first explicit realisations of honest locally N $$ \mathcal{N} $$ = 1 preserving punctures in class S $$ \mathcal{S} $$ . Additionally we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. This work paves the way for advancements in the study and identification of the precise dual field theories.https://doi.org/10.1007/JHEP10(2024)036AdS-CFT CorrespondenceM-TheorySpacetime SingularitiesSupersymmetric Gauge Theory
spellingShingle Pieter Bomans
Christopher Couzens
On the class S $$ \mathcal{S} $$ origin of spindle solutions
Journal of High Energy Physics
AdS-CFT Correspondence
M-Theory
Spacetime Singularities
Supersymmetric Gauge Theory
title On the class S $$ \mathcal{S} $$ origin of spindle solutions
title_full On the class S $$ \mathcal{S} $$ origin of spindle solutions
title_fullStr On the class S $$ \mathcal{S} $$ origin of spindle solutions
title_full_unstemmed On the class S $$ \mathcal{S} $$ origin of spindle solutions
title_short On the class S $$ \mathcal{S} $$ origin of spindle solutions
title_sort on the class s mathcal s origin of spindle solutions
topic AdS-CFT Correspondence
M-Theory
Spacetime Singularities
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP10(2024)036
work_keys_str_mv AT pieterbomans ontheclasssmathcalsoriginofspindlesolutions
AT christophercouzens ontheclasssmathcalsoriginofspindlesolutions