New exactly solvable orbifold models

Published under licence by IOP Publishing Ltd
, , Citation P Fendley 1989 J. Phys. A: Math. Gen. 22 4633 DOI 10.1088/0305-4470/22/21/024

0305-4470/22/21/4633

Abstract

The author employs an 'orbifold procedure' to construct new exactly solvable lattice statistical mechanical models. Starting with the su(3) models at level k=3j, with j an integer, he obtains new models with the same bulk free energy. The bulk free energy is known for the su(n) models in a two-parameter subspace of the full parameter space, so the new models are also exactly solvable in this subspace. He expresses the toroidal partition function of the original model as a sum over partition functions of the orbifold model with twisted boundary conditions. Each model has a critical point, described by a conformal field theory with central charge c=2(1-12/(k+3)(k+2)).

Export citation and abstract BibTeX RIS

10.1088/0305-4470/22/21/024