We develop techniques for analyzing the rotation and gauge group representation content of string models. We explicitly construct all rotation group representations at low mass levels. We then obtained simple approximate formulas for the degeneracy of any given rotation or gauge group representation in the limit of very high mass. We also derive generating functions that give exactly the degeneracy of a representation at any mass level. Finally, we numerically study these results in several cases, and then abstract from the numerical data some simple empirical rules relating different representations.
ASJC Scopus subject areas
- Nuclear and High Energy Physics