Exact Lattice Supersymmetry at Large N

Details Exact Lattice Supersymmetry at Large N Exact Lattice Supersymmetry at Large N

2008-05-28

arxiv.org/abs/0805.4235v2

JHEP 0810:036,2008

Physics

High Energy Physics

High Energy Physics - Lattice

41 pages, 18 figures; v2 added more discussions in the summary

Scientific paper

10.1088/1126-6708/2008/10/036

Employing a novel type of non-commutative product in the Dirac-Kahler twisted superspace on a lattice, we formulate a field theoretically rigid framework of extended supersymmetry on a lattice. As a first example of this treatment, we calculate one-loop (in some cases any loops) quantum corrections for a twisted Wess-Zumino model with N \times N hermitian matrix superfields on a two dimensional lattice. The calculations are entirely given in a lattice superfield framework. We report that the mass and the coupling constant are exactly protected from the radiative corrections at non-zero lattice spacing as far as the planar diagrams are concerned, which implies the realization of exact lattice supersymmetry w.r.t. all the supercharges in the large-N limit.

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