Supersymmetry on Lattice Using Ginsparg-Wilson Relation
Hiroto. So, Naoya Ukita
TL;DR
This paper extends the Ginsparg-Wilson relation to lattice supersymmetry, enabling exact lattice supersymmetry and $U(1)_R$ symmetry realization, demonstrated in a 2D chiral multiplet model.
Contribution
It introduces an extended Ginsparg-Wilson relation for supersymmetry on the lattice, allowing exact SUSY and $U(1)_R$ symmetry implementation.
Findings
Exact lattice supersymmetry can be defined using the extended G-W relation.
$U(1)_R$ symmetry is realized as an exact lattice symmetry.
Application demonstrated in a two-dimensional chiral multiplet model.
Abstract
The Ginsparg-Wilson(G-W) relation for chiral symmetry is extended for a supersymmetrical(SUSY) case on a lattice. It is possible to define exact lattice supersymmetry which are devided into two different cases according to using difference operators. symmetry on the lattice is also realized as one of exact symmetries. For an application, the extended G-W relation is given for a two-dimensional model with chiral multiplets.
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