Refined Topological Vertex and Duality of Gauge Theories in Generic Omega Backgrounds
arXiv:1211.6793
Abstract
The partition functions of refined topological strings(A-models) are computed, which give rise to the circle-compactified five-dimensional supersymmetric linear quiver gauge theories in generic (not necessarily self-dual) Omega backgrounds. Based on the slicing independence conjecture of refined topological string partition functions, it is demonstrated explicitly that the duality exists between and supersymmetric linear quiver gauge theories, even in generic Omega backgrounds. It is found that the relations between string moduli and gauge moduli are deformed from the self-dual case. However if the duality map which preserves the ratio of the Omega background parameters q and t, is considered, duality maps of the gauge moduli are not changed from the self-dual case.
11 pages, 3 figures