Abstract
This work is based on research started several years ago in Geneva and continued in Naples, where it is still in progress. This study took advantage of previous work on critical orbits1 and on the construction of positive definite invariants which van¬ish in the direction of the desired vacuum.2 Part of the matter here presented may be found in the Ph.D. Thesis by Guy Anastaze in Geneva and in the theses of Lorella Cocco, Tiziana Tuzi and Luigi Rosa in Naples.3 The spontaneous symmetry breaking of SO(10) into the gauge group G = SU(3)XSU(2)XU(1) of the strong, weak and electromagnetic interactions, requires VEV s in at least two irreducible representations, since all the G singlets belonging to the various irreducible representations considered have a larger little group.
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© 1989 Plenum Press, New York
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Buccella, F. (1989). Spontaneous Symmetry Breaking In Unified Theories with Gauge Group SO(10). In: Gruber, B., Iachello, F. (eds) Symmetries in Science III. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0787-7_6
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DOI: https://doi.org/10.1007/978-1-4613-0787-7_6
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