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2008

Exact Lattice Supersymmetry at Large N

Nagata, Kazuhiro

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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.

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S. Arianos, A. D’Adda, N. Kawamoto and J. Saito, PoS(LATTICE 2007)259 [arXiv:0710.0487 [hep-lat]]
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2007
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M. Ünsal, JHEP
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2007
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