Lost in translation

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: Lost in translation
• Titelzusatz: topological singularities in group field theory
• Verf.angabe: Razvan Gurau
• E-Jahr: 2010
• Jahr: 15 November 2010
• Umfang: 20 S.
• Fussnoten: Gesehen am 14.09.2022
• Titel Quelle: Enthalten in: Classical and quantum gravity
• Ort Quelle: Bristol : IOP Publ., 1984
• Jahr Quelle: 2010
• Band/Heft Quelle: 27(2010), 23, Artikel-ID 235023, Seite 1-20
• ISSN Quelle: 1361-6382
• DOI: doi:10.1088/0264-9381/27/23/235023
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1805313762

Abstract

Random matrix models generalize to group field theories (GFTs) whose Feynman graphs are dual to gluings of higher dimensional simplices. It is generally assumed that GFT graphs are always dual to pseudo manifolds. In this paper, we prove that already in dimension three (and in all higher dimensions), this is not true due to subtle differences between simplicial complexes and gluings dual to GFT graphs. We prove however that, fortunately, the recently introduced ‘colored’ GFT models (Gurau R 2009 arXiv:0907.2582 [hep-th]) do not suffer from this problem and only generate graphs dual to pseudo manifolds in any dimension.