Topological vertex for Higgsed 5d $T_N$ theories

Abstract

We analyse the computation of the partition function of 5d $T_N$ theories in Higgs branches using the topological vertex. The theories are realised by a web of $(p,q)$ 5-branes whose dual description may be given by an M-theory compactification on a certain local non-toric Calabi-Yau threefold. We explicitly show how it is possible to directly apply the topological vertex to the non-toric geometry. Using this novel technique, which considerably simplifies the computation by the existing method, we are able to compute the partition function of the higher rank $E_6$, $E_7$ and $E_8$ theories. Moreover we show how in some specific cases similar results can be extended to the computation of the partition function of 5d $T_N$ theories in the Higgs branch using the refined topological vertex. These cases require a modification of the refined topological vertex.

60 pages, 23 figures. v2, corrected typos, version accepted on JHEP

References in corpus (8)

• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Fiber-Base Duality and Global Symmetry Enhancement
• Duality and enhancement of symmetry in 5d gauge theories
• Mass-deformed $T_N$ as a linear quiver
• A review of the T_N theory and its cousins
• Exact partition functions of Higgsed 5d $T_N$ theories
• From strings in 6d to strings in 5d
• Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories

Cited by in corpus (6)

• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• 5d/6d DE instantons from trivalent gluing of web diagrams
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• Refined open topological strings revisited