Code Manual and Z3 Tables

  • Kang-Sin Choi
  • Jihn E. Kim
Part of the Lecture Notes in Physics book series (LNP, volume 696)


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.


Gauge Group Simple Root Wilson Line Equivalent Class Root Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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    H. Georgi, Lie Algebras in Particle Physics (2nd Edition, Perseus Books, Reading, MA, 1999).zbMATHGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Kang-Sin Choi
    • 1
  • Jihn E. Kim
    • 1
  1. 1.School of PhysicsSeoul National UniversitySeoulKorea

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