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Duality covariant quantum field theory on noncommutative Minkowski space
Andre Fischer, Richard J. Szabo
We prove that a scalar quantum field theory defined on noncommutative Minkowski spacetime with noncommuting momentum coordinates is covariant with respect to the UV/IR duality whic…
D-branes and bivariant K-theory
Richard J. Szabo
We review various aspects of the topological classification of D-brane charges in K-theory, focusing on techniques from geometric K-homology and Kasparov's KK-theory. The latter fo…
SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo
We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank tw…
Instantons and Donaldson-Thomas Invariants
Michele Cirafici, Annamaria Sinkovics, Richard J. Szabo
We review some recent progress in understanding the relation between a six dimensional topological Yang-Mills theory and the enumerative geometry of Calabi-Yau threefolds. The gaug…
Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
Michele Cirafici, Annamaria Sinkovics, Richard J. Szabo
We study the relation between Donaldson-Thomas theory of Calabi-Yau threefolds and a six-dimensional topological Yang-Mills theory. Our main example is the topological U(N) gauge t…