Refining the Shifted Topological Vertex

Abstract

We study aspects of the refining and shifting properties of the 3d MacMahon function ${\mathcal{C}}_3(q)$ used in topological string theory and BKP hierarchy. We derive the explicit expressions of the shifted topological vertex ${\mathcal{S}}_{\lambda \mu \nu }(q)$ and its refined version ${\mathcal{T}}_{\lambda \mu \nu }(q,t)$. These vertices complete results in literature.

Latex, 14 pages, 2 figures. To appear in Jour Math Phys

References in corpus (4)

• Generalized MacMahon G(q) as q-deformed CFT Correlation Function
• Hypergeometric functions related to Schur Q-polynomials and BKP equation
• Topological String on Toric CY3s in Large Complex Structure Limit
• Non Planar Topological 3-Vertex Formalism

Cited by in corpus (1)

• Topological String on Toric CY3s in Large Complex Structure Limit