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arXiv · 1409.8508

Lattice formulations of supersymmetric gauge theories with matter fields

Anosh Joseph
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Abstract

Certain classes of supersymmetric gauge theories, including the well known N=4 supersymmetric Yang-Mills theory, that takes part in the AdS/CFT correspondence, can be formulated on a Euclidean spacetime lattice using the techniques of exact lattice supersymmetry. Great ideas such as topological field theories, Dirac-Kaehler fermions, geometric discretization all come together to create supersymmetric lattice theories that are gauge-invariant, doubler free, local and exact supersymmetric. We discuss the recent lattice constructions of supersymmetric Yang-Mills theories in two and three dimensions coupled to matter fields in various representations of the color group.

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Anosh Joseph. 2014-09-30. Lattice formulations of supersymmetric gauge theories with matter fields. https://arxiv.org/abs/1409.8508

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