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 $(p,q)$ 5branes whose dual description may be given by an Mtheory compactification on a certain local nontoric CalabiYau threefold. We explicitly show how it is possible to directly apply the topological vertex to the nontoric 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.
 Publication:

arXiv eprints
 Pub Date:
 May 2015
 arXiv:
 arXiv:1505.00260
 Bibcode:
 2015arXiv150500260H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 60 pages, 23 figures. v2, corrected typos, version accepted on JHEP