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 (10)

• The Topological Vertex
• Applied Conformal Field Theory
• Disk Instantons, Mirror Symmetry and the Duality Web
• BKP plane partitions
• On the Supersymmetric BKP-Hierarchy
• Generalized MacMahon G(q) as q-deformed CFT Correlation Function
• Hypergeometric functions related to Schur Q-polynomials and BKP equation
• The local Gromov-Witten invariants of configurations of rational curves
• Topological String on Toric CY3s in Large Complex Structure Limit
• Non Planar Topological 3-Vertex Formalism

Cited by in corpus (8)

• A Macdonald refined topological vertex
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• Finiteness of 3D higher spin gravity Landscape
• 5D N=1 super QFT: symplectic quivers
• Topological String on Toric CY3s in Large Complex Structure Limit
• Black hole solutions of three dimensional E${}_6$-gravity
• Generalized q-deformed Correlation Functions as Spectral Functions of Hyperbolic Geometry
• Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory