Code Manual and Z₃ Tables

Abstract

In this chapter, the Z ₃ orbifold models with two Wilson lines with all the interesting gauge groups, which can allow chiral fermions at low energy, are tabulated by computer output. Thus, Z ₃ orbifolds with two Wilson lines is a closed chapter now.¹ We restricted to two Wilson line models since here the multiplicity 3 is automatic. We have not included models with three Wilson lines, since here it is not guaranteed from the outset that the resulting spectrum has the multiplicity 3 in addition to the difficulty of too much computing time required. Our strategy is the following. First, we program such that a minimum computing time is required at our present knowledge. How this is achieved will be explained below. The process discussed in this chapter produces more than 60 thousand two Wilson line models. Then, we go through all the models to choose physically interesting ones. For example, we exclude all models which give vectorlike representations. Also, we exclude by inspection the models with gauge groups which cannot give standard-like models (after gauge symmetry breaking). These procedure reduces the number to ~1000. Still some of these can be excluded, but that work is left for the reader who uses our table.