NSBC-NB-007 Symbolic Manipulations in High-Energy Theory
This document demonstrates the use of computer-aided symbolic manipulations in high-energy theory. It includes two Mathematica notebooks that can be safely extracted and viewed. The first notebook shows the manipulations used in a theory dealing with an 18-dimensional unification model, the construction of the associated algebra, and its tensorial and spinorial multiplets, decomposing with respect to 4 dimensions and an internal SU7. The second notebook shows the manipulations used in a theory dealing with E8 unification, the construction of the associated algebra, and its fundamental multiplet, in a decomposition with respect to SU9. We describe the various other comprehensive capabilities of the underlying programming code for symbolic computations in quantum field theory and related manipulations.
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