Symmetry, duality, and anholonomy of point interactions in one dimension

Taksu Cheon, Tamás Fülöp, Izumi Tsutsui

Research output: Contribution to journalArticle

62 Citations (Scopus)


We analyze the spectral structure of a one-dimensional quantum mechanical system with point interaction, which is known to be parametrized by the group U (2). Based on the classification of the interactions in terms of symmetries, we show, on a general basis, how the fermion-boson duality and the spectral anholonomy recently discovered can arise. A vital role is played by a hidden su(2) formed by a certain set of discrete transformations, which becomes a symmetry if the point interaction belongs to a distinguished U (1) subfamily in which all states are doubly degenerate. Within the U (1), there is a particular interaction that admits the interpretation of the system as a supersymmetric Witten model.

Original languageEnglish
Pages (from-to)1-23
Number of pages23
JournalAnnals of Physics
Issue number1
Publication statusPublished - Nov 25 2001


  • Anholonomy
  • Duality
  • Point interaction

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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