4d higgsed network calculus and elliptic DIM algebra

4d higgsed network calculus and elliptic DIM algebra

Blog Article

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 remtavares.com construction in which the underlying trigonometric DIM algebra here 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.