A topological string theory-based approach to supersymmetric gauge theory

4d higgsed network calculus and elliptic DIM algebra

We employ an algebraic construction in which the underlying trigonometric ding-iohara-miki (dim) algebra is elliptically deformed and an alternative geometric approach motivated by topological string theory to study holomorphicblocks of 3d linear quiver gauge theories one dimension higher.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.