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Instanton counting and wall-crossing for orbifold quivers
Michele Cirafici, Annamaria Sinkovics, Richard J. Szabo
Noncommutative Donaldson-Thomas invariants for abelian orbifold singularities can be studied via the enumeration of instanton solutions in a six-dimensional noncommutative N=2 gaug…
Quantization of 2-Plectic Manifolds
Christian Saemann, Richard J. Szabo
We describe an extension of the axioms of quantization to the case of 2-plectic manifolds. We show how such quantum spaces can be obtained as stable classical solutions in a zero-d…
Propagators and Matrix Basis on Noncommutative Minkowski Space
Andre Fischer, Richard J. Szabo
We describe an analytic continuation of the Euclidean Grosse-Wulkenhaar and LSZ models which defines a one-parameter family of duality covariant noncommutative field theories inter…
Algebraic deformations of toric varieties II. Noncommutative instantons
Lucio Cirio, Giovanni Landi, Richard J. Szabo
We continue our study of the noncommutative algebraic and differential geometry of a particular class of deformations of toric varieties, focusing on aspects pertinent to the const…
Crystals, instantons and quantum toric geometry
Richard J. Szabo
We describe the statistical mechanics of a melting crystal in three dimensions and its relation to a diverse range of models arising in combinatorics, algebraic geometry, integrabl…
Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model
Richard J. Szabo, Miguel Tierz
We show that the chiral partition function of two-dimensional Yang-Mills theory on the sphere can be mapped to the partition function of the homogeneous six-vertex model with domai…