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Phys."],"published-print":{"date-parts":[[2021,5]]},"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n                     <\/jats:title><jats:p>In this note we consider the set of line operators in theories of class <jats:italic>S<\/jats:italic>. 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) <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \\mathcal{N} $$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>N<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> = 2<jats:sup>*<\/jats:sup>; and the relation between line defects and certain spherical Double Affine Hecke Algebras.<\/jats:p>","DOI":"10.1007\/jhep05(2021)224","type":"journal-article","created":{"date-parts":[[2021,5,26]],"date-time":"2021-05-26T03:40:28Z","timestamp":1622000428000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A note on discrete dynamical systems in theories of class S"],"prefix":"10.1007","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9940-3250","authenticated-orcid":false,"given":"Michele","family":"Cirafici","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,5,25]]},"reference":[{"key":"15787_CR1","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1007\/JHEP08(2013)115","volume":"08","author":"O Aharony","year":"2013","unstructured":"O. 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