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Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three Dimensions
Amihay Hanany, Noppadol Mekareeya
We study moduli spaces of a class of three dimensional N=4 gauge theories which are in one-to-one correspondence with a certain set of ordered pairs of integer partitions. It was f…
Invariants of Toric Seiberg Duality
Amihay Hanany, Yang-Hui He, Vishnu Jejjala +3
Three-branes at a given toric Calabi-Yau singularity lead to different phases of the conformal field theory related by toric (Seiberg) duality. Using the dimer model/brane tiling d…
Calabi-Yau Orbifolds and Torus Coverings
Amihay Hanany, Vishnu Jejjala, Sanjaye Ramgoolam +1
The theory of coverings of the two-dimensional torus is a standard part of algebraic topology and has applications in several topics in string theory, for example, in topological s…
The Beta Ansatz: A Tale of Two Complex Structures
Amihay Hanany, Yang-Hui He, Vishnu Jejjala +3
Brane tilings, sometimes called dimer models, are a class of bipartite graphs on a torus which encode the gauge theory data of four-dimensional SCFTs dual to D3-branes probing tori…
M2-Branes and Fano 3-folds
John Davey, Amihay Hanany, Noppadol Mekareeya +1
A class of supersymmetric gauge theories arising from M2-branes probing Calabi-Yau 4-folds which are cones over smooth toric Fano 3-folds is investigated. For each model, the toric…
Brane tilings and supersymmetric gauge theories
Amihay Hanany, Giuseppe Torri
In the last few years, brane tilings have proven to be an efficient and convenient way of studying supersymmetric gauge theories living on D3-branes or M2-branes. In these pages we…
An Introduction to Counting Orbifolds
John Davey, Amihay Hanany, Rak-Kyeong Seong
We review three methods of counting abelian orbifolds of the form C^3/Gamma which are toric Calabi-Yau (CY). The methods include the use of 3-tuples to define the action of Gamma o…