Niemeier self-dual lattices and topological phase transitions
High Energy Physics - Theory
2007-05-23 v3 General Relativity and Quantum Cosmology
Abstract
A topological phase transition in two-dimensional nonlinear sigma-models on tori, connected with self-dual (unimodular) 24-dimensional Niemeier lattices, is considered. It is shown that critical properties of these transitions are determined by corresponding Coxeter numbers of lattices. A case of general integer-valued lattices with minimal norm equal 1 or 2 and a possible application to string theory are discussed.
Keywords
Cite
@article{arxiv.hep-th/9811226,
title = {Niemeier self-dual lattices and topological phase transitions},
author = {S. A. Bulgadaev},
journal= {arXiv preprint arXiv:hep-th/9811226},
year = {2007}
}
Comments
8 pages, 1 figure, 1 table, Latex 2e; corrected text with addition of discussion of general integer-valued lattices