On the Fermionic Quasi-particle Interpretation in Minimal Models of Conformal Field Theory

Abstract

The conjecture that the states of the fermionic quasi-particles in minimal conformal field theories are eigenstates of the integrals of motion to certain eigenvalues is checked and shown to be correct only for the Ising model.

5 pages of LateX

References in corpus (7)

• Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz
• Quantum Dilogarithm
• Dilogarithm identities
• Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν,ν+1). Exact results
• Continued Fractions and Fermionic Representations for Characters of M(p,p') minimal models
• Fermionic solution of the Andrews-Baxter-Forrester model II: proof of Melzer's polynomial identities
• Exceptional structure of the dilute A${}_3$ model: E${}_8$ and E${}_7$ Rogers--Ramanujan identities

Cited by in corpus (2)

• Minimal Models of Integrable Lattice Theory and Truncated Functional Equations
• Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz