Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges

Details Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges

2003-02-25

arxiv.org/abs/hep-lat/0302017v1

JHEP 0308 (2003) 024

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1088/1126-6708/2003/08/024

We formulate a Euclidean spacetime lattice whose continuum limit is (2,2) supersymmetric Yang-Mills theory in two dimensions, a theory which possesses four supercharges and an anomalous global chiral symmetry. The lattice action respects one exact supersymmetry, which allows the target theory to emerge in the continuum limit without fine-tuning. Our method exploits an orbifold construction described previously for spatial lattices in Minkowski space, and can be generalized to more complicated theories with additional supersymmetry and more spacetime dimensions.

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