English

Spectral Measures for $G_2$

Operator Algebras 2015-05-20 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the rank two Lie group G2G_2, including the McKay graphs for the irreducible representations of G2G_2 and its maximal torus, and fusion modules associated to all known G2G_2 modular invariants.

Keywords

Cite

@article{arxiv.1404.1863,
  title  = {Spectral Measures for $G_2$},
  author = {David E. Evans and Mathew Pugh},
  journal= {arXiv preprint arXiv:1404.1863},
  year   = {2015}
}

Comments

36 pages, 40 figures; correction to Sections 5.4 and 5.5, minor improvements to exposition

R2 v1 2026-06-22T03:44:56.974Z