Supersymmetric lattices

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Abstract

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 N = 4 super Yang-Mills theory.

Original languageEnglish (US)
Article number012006
JournalJournal of Physics: Conference Series
Volume462
Issue number1
DOIs
StatePublished - 2013
Event6th International Symposium on Quantum Theory and Symmetries, QTS 2009 - Lexington, KY, United States
Duration: Jul 20 2009Jul 25 2009

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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