Research in particle theory: Annual progress report for the period January 1, 1987-December 31, 1987
New compactified superstring models in four dimensions were developed, which have N = 1 supersymmetry and gauge groups such as SO(10) and SU(5). In this compactification scheme, the spin connection is not embedded in the gauge field. The models have a small number of generations and calculable parameters. A new family of static, axially symmetry selections of Einstein's equations with sources that have toroidal topology were found, which have several known solutions as special cases. Monte Carlo simulations were performed on two-dimensional conformal field theories with Z/sub 5/, Z/sub 7/, and Z/sub 9/ symmetry. The conformal anomaly and anomalous dimensions were found in agreement with the assumption that these models are manifestations of theories of massless free bosons with twisted boundary conditions, the dimensions of which have also been found from a calculation of the generating function on a complex torus. A self-consistency condition, extending modular invariance to include Abelian symmetry groups and twisted boundary conditions has been derived. The spectrum and the observables of a free massless O(N) parafermion theory of order Q in two dimensions were shown to be related to, but not identical with, a free fermion theory with O(N) x O(Q) symmetry. The Virasoro and the O(N) Kac-Moody algebras of these theories were given. The spectra and the zero-point energies of parastring models were studied. A physical interpretation of these models as theories of Preons was suggested. Dynamical electroweak symmetry breaking and mass generation for quarks and leptons were studied. A mechanism for mitigating the flavor-changing neutral current problem endemic to such theories were proposed. 46 refs.
- Research Organization:
- Cincinnati Univ., OH (USA)
- DOE Contract Number:
- FG02-84ER40153
- OSTI ID:
- 5510425
- Report Number(s):
- DOE/ER/40153-4; ON: DE88004351
- Country of Publication:
- United States
- Language:
- English
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