name

Naoya UKITA

refid

20402

email

ukita@muse.hep.sc.niigata-u.ac.jp

title

On the impossibility of lattice SUSY construction

collaboration

Hiroto SO

abstract

<<poster session>>

We show that it is impossible to construct supersymmetric
models with interaction terms on lattice. Here we regard
lattice SUSY as satisfying SUSY algebla, and this algebla
contains difference operators. From not satisfying
Leibnitz rule of difference operators, therefore
constructing lattice SUSY is difficult. In this poster
we demonstrate that
any interaction vertices satisfiying three conditions;
(1)translational invariant,
(2)exponential locality,
(3)Leibnitz rule by local symmetric differance operators
do not exist on lattice. Thus it is impossible to
construct supersymmetric interaction terms on lattice.
But for free case the constructon is possible.

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