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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…
Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory
Richard J. Szabo, Alessandro Valentino
We study D-branes and Ramond-Ramond fields on global orbifolds of Type II string theory with vanishing H-flux using methods of equivariant K-theory and K-homology. We illustrate ho…
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…
Noncommutative correspondences, duality and D-branes in bivariant K-theory
Jacek Brodzki, Varghese Mathai, Jonathan Rosenberg +1
We describe a categorical framework for the classification of D-branes on noncommutative spaces using techniques from bivariant K-theory of C*-algebras. We present a new descriptio…
DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation Orbifold
Henry C. D. Cove, Zoltan Kadar, Richard J. Szabo
We investigate some aspects of the relationship between matrix string theory and light-cone string field theory by analysing the correspondence between the two-loop thermal partiti…