A note on discrete dynamical systems in theories of class S

A note on discrete dynamical systems in theories of class S

Abstract In this note we consider the set of line operators in theories of class S. We show that this set carries the action of a natural discrete dynamical system associated with the BPS spectrum. We discuss several applications of this perspective; the relation with global properties of the theory...

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Main Author: Michele Cirafici
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of High Energy Physics
Subjects:
Nonperturbative Effects
Wilson, ‘t Hooft and Polyakov loops
Extended Supersymmetry
Supersymmetric Gauge Theory
Online Access:https://doi.org/10.1007/JHEP05(2021)224
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spelling doaj-d36290d008cc4ae088a87bbcead8c6d32021-05-30T11:07:30ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021513610.1007/JHEP05(2021)224A note on discrete dynamical systems in theories of class SMichele Cirafici0Dipartimento di Matematica e Geoscienze, Università di TriesteAbstract In this note we consider the set of line operators in theories of class S. We show that this set carries the action of a natural discrete dynamical system associated with the BPS spectrum. We discuss several applications of this perspective; the relation with global properties of the theory; the set of constraints imposed on the spectrum generator, in particular for the case of SU(2) N $$ \mathcal{N} $$ = 2*; and the relation between line defects and certain spherical Double Affine Hecke Algebras.https://doi.org/10.1007/JHEP05(2021)224Nonperturbative EffectsWilson, ‘t Hooft and Polyakov loopsExtended SupersymmetrySupersymmetric Gauge Theory
collection DOAJ
language English
format Article
sources DOAJ
author Michele Cirafici
spellingShingle Michele Cirafici
A note on discrete dynamical systems in theories of class S
Journal of High Energy Physics
Nonperturbative Effects
Wilson, ‘t Hooft and Polyakov loops
Extended Supersymmetry
Supersymmetric Gauge Theory
author_facet Michele Cirafici
author_sort Michele Cirafici
title A note on discrete dynamical systems in theories of class S
title_short A note on discrete dynamical systems in theories of class S
title_full A note on discrete dynamical systems in theories of class S
title_fullStr A note on discrete dynamical systems in theories of class S
title_full_unstemmed A note on discrete dynamical systems in theories of class S
title_sort note on discrete dynamical systems in theories of class s
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-05-01
description Abstract In this note we consider the set of line operators in theories of class S. We show that this set carries the action of a natural discrete dynamical system associated with the BPS spectrum. We discuss several applications of this perspective; the relation with global properties of the theory; the set of constraints imposed on the spectrum generator, in particular for the case of SU(2) N $$ \mathcal{N} $$ = 2*; and the relation between line defects and certain spherical Double Affine Hecke Algebras.
topic Nonperturbative Effects
Wilson, ‘t Hooft and Polyakov loops
Extended Supersymmetry
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP05(2021)224
work_keys_str_mv AT michelecirafici anoteondiscretedynamicalsystemsintheoriesofclasss
AT michelecirafici noteondiscretedynamicalsystemsintheoriesofclasss
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