D'Adda, Alessandro and Kanamori, Issaku and Kawamoto, Noboru and Saito, Jun (2012) Species doublers as super multiplets in lattice supersymmetry: chiral conditions of Wess-Zumino model for D = N=2. JOURNAL OF HIGH ENERGY PHYSICS (3): 043. ISSN 1029-8479,
Full text not available from this repository. (Request a copy)Abstract
We propose an algebraic lattice supersymmetry formulation which has an exact supersymmetry on the lattice. We show how lattice version of chiral conditions can be imposed to satisfy an exact lattice supersymmetry algebra. The species doublers of chiral fermions and the corresponding bosonic counterparts can be accommodated to fit into chiral supermultiplets of lattice supersymmetry and thus lattice chiral fermion problem does not appear. We explicitly show how N = 2 Wess-Zumino model in one and two dimensions can be formulated to keep exact supersymmetry for all supercharges on the lattice. The momentum representation of N = 2 lattice chiral supersymmetry algebra has lattice periodicity and thus momentum conservation should be modified to a lattice version of sine momentum conservation, which generates nonlocal interactions and leads to a loss of lattice translational invariance. It is shown that the nonlocality is mild and the translational invariance is recovered in the continuum limit. In the coordinate representation a new type of product is defined and the difference operator satisfies Leibnitz rule and an exact lattice supersymmetry is realized on this product.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EXACT EXTENDED SUPERSYMMETRY; YANG-MILLS; TWISTED SUPERSPACE; DIMENSIONS; FERMIONS; SYMMETRY; Field Theories in Lower Dimensions; Extended Supersymmetry; Lattice Quantum Field Theory |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 May 2020 09:57 |
| Last Modified: | 18 May 2020 09:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/19074 |
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