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Finitized conformal spectrum of the Ising model on the cylinder and torus

✍ Scribed by David L. O'Brien; Paul A. Pearce; S. Ole Warnaar

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
756 KB
Volume
228
Category
Article
ISSN
0378-4371

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✦ Synopsis

The spectrum of the critical king model on a lattice with cylindrical and toroidal boundary conditions is calculated by commuting transfer matrix methods. Using a simple truncation procedure, we obtain the natural finitizations of the conformal spectra recently proposed by Melzer. These finitizations imply polynomial identities which in the large lattice limit give rise to the Rogers-Ramanujan identities for the c = I /2 Virasoro characters.

πŸ“œ SIMILAR VOLUMES

Nahm Transform and Moduli Spaces of CPN-
Nahm Transform and Moduli Spaces of CPN-Models on the Torus
✍ M. Aguado; M. Asorey; A. Wipf πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 404 KB

There is a Nahm transform for 2-dimensional gauge fields which establishes a one-to-one correspondence between the orbit space of U (N ) gauge fields with topological charge k defined on a torus and that of U (k) gauge fields with charge N on the dual torus. The main result of this paper is to show