KacMoody symmetries of critical ground states
Abstract
The symmetries of critical ground states of twodimensional lattice models are investigated. We show how mapping a critical ground state to a model of a rough interface can be used to identify the chiral symmetry algebra of the conformal field theory that describes its scaling limit. This is demonstrated in the case of the sixvertex model, the threecoloring model on the honeycomb lattice, and the fourcoloring model on the square lattice. These models are critical and they are described in the continuum by conformal field theories whose symmetry algebras are the su(2) _{k=1 }, su(3) _{k=1 }, and the su(4) _{k=1 } KacMoody algebra, respectively. Our approach is based on the FrenkelKacSegal vertex operator construction of levelone KacMoody algebras.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)000648
 arXiv:
 arXiv:condmat/9511102
 Bibcode:
 1996NuPhB.464..540K
 Keywords:

 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 42 pages, RevTex, 14 ps figures, Submitted to Nucl. Phys. B. [FS]