Niemeier self-dual lattices and topological phase transitions

Details Niemeier self-dual lattices and topological phase transitions Niemeier self-dual lattices and topological phase transitions

1998-11-26

arxiv.org/abs/hep-th/9811226v3

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure, 1 table, Latex 2e; corrected text with addition of discussion of general integer-valued lattices

Scientific paper

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.

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