preprint

[Benny Lautrup]

New preprint

    Uniqueness of Parisi's Scheme for Replica Symmetry Breaking

                  B. Lautrup
                  Computational Neural Network Center
                  The Niels Bohr Institute
                  Blegdamsvej 17
                  2100 Copenhagen, Denmark

   Abstract:
   Replica symmetry breaking in spin glass models is investigated
   using elements of the theory of permutation groups. It is shown
   how the various types of symmetry breaking gives rise to special
   algebras and that Parisi's scheme may be uniquely characterized
   by two simple conditions on these algebras, namely transposition
   symmetry and simple extensibility. An alternative to the Parisi
   scheme is shown to be unacceptable.


   The paper may be retrieved by anonymous ftp from

   nbibel.nbi.dk  (129.142.100.11)

   in the directory pub/neuroprose under the name

   lautrup.parisi.ps.Z

   It is a compressed postscript file.

Regards

Benny Lautrup