A note on discrete dynamical systems in theories of class $S$
High Energy Physics - Theory
2021-07-27 v2 Mathematical Physics
math.MP
Abstract
In this note we consider the set of line operators in theories of class . 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) ; and the relation between line defects and certain spherical Double Affine Hecke Algebras.
Keywords
Cite
@article{arxiv.2011.12887,
title = {A note on discrete dynamical systems in theories of class $S$},
author = {Michele Cirafici},
journal= {arXiv preprint arXiv:2011.12887},
year = {2021}
}
Comments
33 pages, a Mathematica notebook is included with the paper; v2 minor changes, published version