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Supersymmetric Gauge Theories on the Lattice

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Certain classes of supersymmetric Yang-Mills (SYM) theories including the well known N=4 SYM , that takes part in the AdS/CFT correspondence, can be formulated on a Euclidean spacetime lattice using the techniques of exact lattice supersymmetry. In this talk I will provide the constructions of such theories and describe how great ideas such as topological field theories, Dirac-Kahler fermions, geometric discretisation all come together to create lattice SYM theories that are exact-supersymmetric, gauge-invariant, local and doubler-free. Then I move on to discuss some recent results that validate the gauge/gravity duality conjecture though lattice simulations.

This talk is part of the Lattice field theory informal seminars series.

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