Abstract
The finite-size scaling spectra of the antiferromagnetic Zamolodchikov-Fateev hamiltonian with toroidal boundary conditions are given up to macroscopic momenta, by a Z(2) parafermion combined with a free boson. We show how to project out from this spectra various N = 1 superconformal systems. We give the operator content corresponding to the various sectors of these systems determined by internal symmetries and boundary conditions. In particular we recover all the modular invariants of Cappelli in two different ways. We next apply the same projection mechanism to finite chains. This is possible due to some special symmetry properties of the finite chains. In this way we get the spectra of various systems. In particular the spectra of the tricritical Ising model (c = 7 10 ) obtained from the spin-one chain coincides with those obtained from the spectra of the spin-1/2 XXZ Heisenberg chain. Through a simple generalization the number of states for some higher SU(2) × SU(2)/SU(2) coset models are obtained.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.