Counter-example to conjectured SU(N) character asymptotics

Details Counter-example to conjectured SU(N) character asymptotics Counter-example to conjectured SU(N) character asymptotics

2003-10-15

arxiv.org/abs/hep-th/0310149v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

We give a counterexample to the large $N$ asymptotics of character values
$\chi_R(U)$ 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.

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