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Crystal melting on toric surfaces
Michele Cirafici, Amir-Kian Kashani-Poor, Richard J. Szabo
We study the relationship between the statistical mechanics of crystal melting and instanton counting in N=4 supersymmetric U(1) gauge theory on toric surfaces. We argue that, in c…
Instantons, Topological Strings and Enumerative Geometry
Richard J. Szabo
We review and elaborate on certain aspects of the connections between instanton counting in maximally supersymmetric gauge theories and the computation of enumerative invariants of…
Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
Richard J. Szabo
A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us abou…
Dimensional Reduction and Vacuum Structure of Quiver Gauge Theory
Brian P. Dolan, Richard J. Szabo
We describe the structure of the vacuum states of quiver gauge theories obtained via dimensional reduction over homogeneous spaces, in the explicit example of SU(3)-equivariant dim…
Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking
Brian P. Dolan, Richard J. Szabo
We consider SU(2)-equivariant dimensional reduction of Yang-Mills-Dirac theory on manifolds of the form M x CP(1), with emphasis on the effects of non-trivial magnetic flux on CP(1…