Dirac operators on the Taub-NUT space, monopoles and SU(2) representations

Rogelio Jante, Bernd J. Schroers

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We analyse the normalisable zero-modes of the Dirac operator on the TaubNUT manifold coupled to an abelian gauge field with self-dual curvature, and interpret them in terms of the zero modes of the Dirac operator on the 2-sphere coupled to a Dirac monopole. We show that the space of zero modes decomposes into a direct sum of irreducible SU(2) representations of all dimensions up to a bound determined by the spinor charge with respect to the abelian gauge group. Our decomposition provides an interpretation of an index formula due to Pope and provides a possible model for spin in recently proposed geometric models of matter.

Original languageEnglish
Article number114
JournalJournal of High Energy Physics
Volume2014
Issue number1
DOIs
Publication statusPublished - 2014

Keywords

  • Differential and Algebraic Geometry
  • Global Symmetries
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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