Supersymmetric spindles

In the context of holography, we analyse aspects of supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spinc spinors on a spindle with an azimuthal rotation symmetry we show that under rather general conditions there are just two possibilities, called the ‘t...

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Main Authors: Ferrero, P, Gauntlett, J, Sparks, JF
Format: Journal article
Language:English
Published: Springer 2022
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author Ferrero, P
Gauntlett, J
Sparks, JF
author_facet Ferrero, P
Gauntlett, J
Sparks, JF
author_sort Ferrero, P
collection OXFORD
description In the context of holography, we analyse aspects of supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spinc spinors on a spindle with an azimuthal rotation symmetry we show that under rather general conditions there are just two possibilities, called the ‘twist’ and the ‘antitwist’, which are determined by the quantized magnetic flux through the spindle. A special case of the twist is the standard topological twist which is associated with constant and chiral spinors. We construct solutions of D = 5 and D = 4 STU gauged supergravity theories that are dual to D3-branes and M2-branes wrapping spindles, respectively, which realize both the anti-twist, as seen before, but also the twist. For the wrapped D3-brane solutions we reproduce the central charge of the gravity solution from the dual field theory by analysing the anomaly polynomial of N = 4 SYM theory. We also discuss M5-branes wrapped on spindles both from a gravity and a field theory point of view.
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spelling oxford-uuid:a1856947-e598-402c-8ca7-dea391af0af22022-03-27T02:13:48ZSupersymmetric spindlesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a1856947-e598-402c-8ca7-dea391af0af2EnglishSymplectic ElementsSpringer2022Ferrero, PGauntlett, JSparks, JFIn the context of holography, we analyse aspects of supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spinc spinors on a spindle with an azimuthal rotation symmetry we show that under rather general conditions there are just two possibilities, called the ‘twist’ and the ‘antitwist’, which are determined by the quantized magnetic flux through the spindle. A special case of the twist is the standard topological twist which is associated with constant and chiral spinors. We construct solutions of D = 5 and D = 4 STU gauged supergravity theories that are dual to D3-branes and M2-branes wrapping spindles, respectively, which realize both the anti-twist, as seen before, but also the twist. For the wrapped D3-brane solutions we reproduce the central charge of the gravity solution from the dual field theory by analysing the anomaly polynomial of N = 4 SYM theory. We also discuss M5-branes wrapped on spindles both from a gravity and a field theory point of view.
spellingShingle Ferrero, P
Gauntlett, J
Sparks, JF
Supersymmetric spindles
title Supersymmetric spindles
title_full Supersymmetric spindles
title_fullStr Supersymmetric spindles
title_full_unstemmed Supersymmetric spindles
title_short Supersymmetric spindles
title_sort supersymmetric spindles
work_keys_str_mv AT ferrerop supersymmetricspindles
AT gauntlettj supersymmetricspindles
AT sparksjf supersymmetricspindles