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Cheeger-Simons differential characters with compact support and Pontryagin duality
Christian Becker, Marco Benini, Alexander Schenkel +1
By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respec…
Abelian duality on globally hyperbolic spacetimes
Christian Becker, Marco Benini, Alexander Schenkel +1
We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomolog…
Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
We continue our systematic development of noncommutative and nonassociative differential geometry internal to the representation category of a quasitriangular quasi-Hopf algebra. W…
N=2 gauge theories, instanton moduli spaces and geometric representation theory
Richard J. Szabo
We survey some of the AGT relations between N=2 gauge theories in four dimensions and geometric representations of symmetry algebras of two-dimensional conformal field theory on th…
Sasakian quiver gauge theories and instantons on cones over lens 5-spaces
Olaf Lechtenfeld, Alexander D. Popov, Marcus Sperling +1
We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gau…
Triproducts, nonassociative star products and geometry of R-flux string compactifications
Paolo Aschieri, Richard J. Szabo
We elucidate relations between different approaches to describing the nonassociative deformations of geometry that arise in non-geometric string theory. We demonstrate how to deriv…