4d higgsed network calculus and elliptic DIM algebra

Autor: Mohamed Ghoneim, Can Kozçaz, Kerem Kurşun, Yegor Zenkevich
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Nuclear Physics B, Vol 978, Iss , Pp 115740- (2022)
Druh dokumentu: article
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2022.115740
Popis: Supersymmetric gauge theories of certain class possess a large hidden nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which can be used to compute their partition functions and correlators very efficiently. We lift the DIM-algebraic approach developed to study holomorphic blocks of 3d linear quiver gauge theories one dimension higher. We employ an algebraic construction in which the underlying trigonometric DIM algebra is elliptically deformed, and an alternative geometric approach motivated by topological string theory. We demonstrate the equivalence of these two methods, and motivated by this, prove that elliptic DIM algebra is isomorphic to the direct sum of a trigonometric DIM algebra and an additional Heisenberg algebra.
Databáze: Directory of Open Access Journals