Supersymmetric lattices

Details Supersymmetric lattices Supersymmetric lattices

2010-05-28

arxiv.org/abs/1005.5346v2

Physics

High Energy Physics

High Energy Physics - Lattice

Plenary talk at the symposium Quantum Theory and Symmetries, Lexington, Kentucky, July 2009. References added

Scientific paper

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on the question. The result has been the creation of a new class of lattice gauge theory in which the lattice action is invariant under one or more supersymmetries. The resultant theories are local and free of doublers and in the case of Yang-Mills theories also possess exact gauge invariance. In principle they form the basis for a truly non-perturbative definition of the continuum supersymmetric field theory. In this talk these ideas are reviewed with particular emphasis being placed on ${\cal N}=4$ super Yang-Mills theory.

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