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Seiberg dualities for quiver gauge theories
Yuanyuan Fang, Jing Feng, Dan Xie
We study Seiberg duality for quiver gauge theories with fundamental, bifundamental, and rank-two tensor matter. The existence of a Seiberg dual description places strong constraint…
Bigraded Polynomials for the Cohomology of Wild Hitchin Systems
Dan Xie
We introduce a bi-graded polynomial that encodes the cohomology groups of the wild Hitchin system of type~, constructed using an irregular singularity (determined by an in…
On classification of rank two theories with eight supercharges Part III: Seiberg-Witten geometry
Dan Xie
We study Seiberg-Witten (SW) geometries for rank-two theories, encompassing 4D field theories as well as 5D and 6D Kaluza-Klein (KK) theories. The singular model for each SW geomet…
On duality of four dimensional gauge theory
Yuanyuan Fang, Jing Feng, Dan Xie
We show that Seiberg-like duality of gauge theory coupled with tensor chiral fields and fundamental chiral fields works if the meson spectrum built from the tensor…
On rank two theories with eight supercharges part II: Lefschetz pencils
Dan Xie
The global Seiberg-Witten (SW) geometries for rank two theories with eight supercharges are studied. The theory is deformed generically so that there are only simplest or $\t…
Three dimensional quotient singularity and 4d AdS/CFT correspondence
Yuanyuan Fang, Jing Feng, Dan Xie
We systematically study the AdS/CFT correspondence induced by D3 branes probing three dimensional Gorenstein quotient singularity . The field theory is given by the…