Ambient metrics with exceptional holonomy

• Thomas Leistner ^[1] ; Pawel Nurowski ^[2]
  1. [1] University of Adelaide

     University of Adelaide

     Australia

     
  2. [2] University of Warsaw

     University of Warsaw

     Warszawa, Polonia

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 11, Nº 2, 2012, págs. 407-436
• Idioma: inglés
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• Resumen

  • We present conformal structures in signature (3, 2) for which the holonomy of the Fefferman-Graham ambient metric is equal to the non-compact exceptional Lie group G2(2). We write down the resulting 8-parameter family of G2(2)-metrics in dimension seven explicitly in an appropriately chosen coordinate system on the ambient space.