SU(N) meander determinants

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a generalization of meanders, i.e., configurations of non-self-intersecting loops crossing a line through a given number of points, to SU(N). This uses the reformulation of meanders as pairs of reduced elements of the Temperley-Lieb algebra, a SU(2)-related quotient of the Hecke algebra, with a natural gener" alization to SU(N). We also derive explicit formulas for SU(N) meander determi" nants, defined as the Gram determinants of the corresponding bases of the Hecke algebra.

Original languageEnglish (US)
Pages (from-to)5905-5943
Number of pages39
JournalJournal of Mathematical Physics
Volume38
Issue number11
DOIs
StatePublished - Nov 1997
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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