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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Bibliographic Details
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
Description
Summary: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.
ISSN:1029-8479

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