Fermionic Coset Realization of Primaries in Critical Statistical Models

✍ Scribed by D.C. Cabra; K.D. Rothe

• Book ID: 102967120
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 712 KB
• Volume: 251
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1996.0116

✦ Synopsis

We obtain a fermionic coset realization of the primaries of minimal unitary models and show how their four-point functions may be calculated by the use of a reduction formula. We illustrate the construction for the Ising model, where we obtain an explicit realization of the energy operator, Onsager fermions, as well as of the order and disorder operators realizing the dual algebra, in terms of constrained Dirac fermions. The four-point correlators of these operators are shown to agree with those obtained by other methods.

1996 Academic Press, Inc.

( p(k+3)&q(k+2)) 2 &1 4(k+2)(k+3) (1.2) if 0<c<1. These values of c characterize the so-called ``minimal unitary models''.

In particular, FQS have shown that for the first four values of c in the series (1.1), article no.