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Instantons and vortices on noncommutative toric varieties
Lucio S. Cirio, Giovanni Landi, Richard J. Szabo
We elaborate on the quantization of toric varieties by combining techniques from toric geometry, isospectral deformations and noncommutative geometry in braided monoidal categories…
Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds
Christian Saemann, Richard J. Szabo
We describe the quantization of 2-plectic manifolds as they arise in the context of the quantum geometry of M-branes and non-geometric flux compactifications of closed string theor…
Curve counting, instantons and McKay correspondences
Michele Cirafici, Richard J. Szabo
We survey some features of equivariant instanton partition functions of topological gauge theories on four and six dimensional toric Kahler varieties, and their geometric and algeb…
Solitons and Yukawa Couplings in Nearly Kahler Flux Compactifications
Brian P. Dolan, Richard J. Szabo
We study vacuum states and symmetric fermions in equivariant dimensional reduction of Yang-Mills-Dirac theory over the six-dimensional homogeneous space SU(3)/U(1)x U(1) endowed wi…
Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds
Dionysios Mylonas, Peter Schupp, Richard J. Szabo
We develop quantization techniques for describing the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds M. Starting from a suitable Courant…
Groupoid Quantization of Loop Spaces
Christian Saemann, Richard J. Szabo
We review the various contexts in which quantized 2-plectic manifolds are expected to appear within closed string theory and M-theory. We then discuss how the quantization of a 2-p…