34 citations · 127 across the 15 of their papers we have counts for
19 papers · 1 filter
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…
Duality and Braiding in Twisted Quantum Field Theory
Mauro Riccardi, Richard J. Szabo
We re-examine various issues surrounding the definition of twisted quantum field theories on flat noncommutative spaces. We propose an interpretation based on nonlocal commutative…
D-branes, KK-theory and duality on noncommutative spaces
J. Brodzki, V. Mathai, J. Rosenberg +1
We present a new categorical classification framework for D-brane charges on noncommutative manifolds using methods of bivariant K-theory. We describe several applications includin…
Nonabelian localization for gauge theory on the fuzzy sphere
Harold Steinacker, Richard J. Szabo
We apply nonabelian equivariant localization techniques to Yang-Mills theory on the fuzzy sphere to write the partition function entirely as a sum over local contributions from cri…