Lattice Supersymmetry: Some Ideas from Low Dimensional Models

Details Lattice Supersymmetry: Some Ideas from Low Dimensional Models Lattice Supersymmetry: Some Ideas from Low Dimensional Models

2009-10-15

arxiv.org/abs/0910.2924v1

PoS LAT2009:051,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, contribution to The XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking University, Beiji

Scientific paper

In the framework of the so called link approach we study exact lattice supersymmetry for the simplest supersymmetric model: N=1 supersymmetry in D=1. The model is described by a lattice with spacing a/2, thus containing twice as many sites as the conventional one. The boson and fermion are related through a 2pi/a momentum shift, which can provide an interpretation of them being species doublers to each other. An exactly supersymmetric lattice action can be written within this scheme in momentum representation, which however turns out to be non local in coordinate space.

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