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Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
Luca Griguolo, Domenico Seminara, Richard J. Szabo +1
We study the relationship between instanton counting in N=4 Yang-Mills theory on a generic four-dimensional toric orbifold and the semi-classical expansion of q-deformed Yang-Mills…
KO-Homology and Type I String Theory
Rui M. G. Reis, Richard J. Szabo, Alessandro Valentino
We study the classification of D-branes and Ramond-Ramond fields in Type I string theory by developing a geometric description of KO-homology. We define an analytic version of KO-h…
Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons Theory on Torus Bundles
N. Caporaso, M. Cirafici, L. Griguolo +3
We study the relations between two-dimensional Yang-Mills theory on the torus, topological string theory on a Calabi-Yau threefold whose local geometry is the sum of two line bundl…
Symmetry, Gravity and Noncommutativity
Richard J. Szabo
We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to constru…
Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo
We consider equivariant dimensional reduction of Yang-Mills theory on K"ahler manifolds of the form M times CP^1 times CP^1. This induces a rank two quiver gauge theory on M which…
Noncommutative Field Theory on Homogeneous Gravitational Waves
Sam Halliday, Richard J. Szabo
We describe an algebraic approach to the time-dependent noncommutative geometry of a six-dimensional Cahen-Wallach pp-wave string background supported by a constant Neveu-Schwarz f…