English

Counter-example to conjectured SU(N) character asymptotics

High Energy Physics - Theory 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We give a counterexample to the large NN asymptotics of character values χR(U)\chi_R(U) of irreducible characters of SU(N) conjectured in papers of Gross-Matytsin and Kazakov-Wynter in 1995. Our counterexample is based on Kostant's calculation of values of SU(N) characters on Coxeter elements.

Cite

@article{arxiv.hep-th/0310149,
  title  = {Counter-example to conjectured SU(N) character asymptotics},
  author = {T. Tate and S. Zelditch},
  journal= {arXiv preprint arXiv:hep-th/0310149},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T15:19:35.691Z