May 12, 2010 1:10 WSPC - Proceedings Trim Size: 9.75in x 6.5in Allen-May11
SUPERSYMMETRIC SO(N) FROM A PLANCK-SCALE
ROLAND E. ALLEN
Department of Physics and Astronomy, Texas A&M University
College Station, Texas 77843, U.S.A.
Several refinements are made in a theory which starts with a Planck-scale statistical
picture and ends with supersymmetry and a coupling of fundamental fermions and bosons
to SO(N) gauge fields. In particular, more satisfactory treatments are given for (1) the
transformation from the initial Euclidean form of the path integral for fermionic fields
to the usual Lorentzian form, (2) the corresponding transformation for bosonic fields
(which is much less straightforward), (3) the transformation from an initial primitive
supersymmetry to the final standard form (containing, e.g., scalar sfermions and their
auxiliary fields), (4) the initial statistical picture, and (5) the transformation to an action
which is invariant under general coordinate transformations.
Keywords: supersymmetry, SO(N) gauge theory