Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-05-25
JHEP0707:010,2007
Physics
High Energy Physics
High Energy Physics - Lattice
26 pages, no figure, (v3) modified the eq. (3.15) and (3.18) and related statement in the derivation of Sugino model from the
Scientific paper
10.1088/1126-6708/2007/07/010
We comment on the relationships between several supersymmetric lattice models; the ``orbifold lattice theory'' by Cohen-Kaplan-Katz-Unsal (CKKU), lattice regularization of the topological field theory by Sugino and the ``geometrical approach'' by Catterall. We point out that these three models have close relationships; the N =(2,2) model by Catterall [Catterall] and the two-dimensional N = (2,2) lattice theory being similar to Sugino's construction [Sugino] can be derived by appropriate truncation of fields in the two-dimensional N = (4,4) orbifold lattice theory by CKKU [Cohen et al]. Catterall's N = (2,2) description possesses extra degrees of freedom compared to the target N = (2,2) theory. If we remove those extra degrees of freedom in a way keeping supersymmetry on the lattice, Catterall's description reduces to a model of the Sugino type.
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