An elliptic topological vertex

Abstract

We derive a one-parameter deformation of the refined topological vertex that, when used to compute non-periodic web diagrams, reproduces the six-dimensional topological string partition functions that are computed using the refined vertex and periodic web diagrams.

36 pages, minor corrections

References in corpus (3)

• The Refined Topological Vertex
• Macdonald topological vertices and brane condensates
• An Elliptic Vertex of Awata-Feigin-Shiraishi type for M-strings

Cited by in corpus (11)

• A slow review of the AGT correspondence
• Quantum toroidal algebras and solvable structures in gauge/string theory
• More on topological vertex formalism for 5-brane webs with O5-plane
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• Macdonald topological vertices and brane condensates
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Gauge origami and quiver W-algebras
• Bootstrapping ADE M-strings
• Quasi-Hopf twist and elliptic Nekrasov factor
• Quantum $W_{1+\infty }$ subalgebras of BCD type and symmetric polynomials
• Intertwining operator and integrable hierarchies from topological strings