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Special‐holonomy manifolds and quartic‐curvature string corrections
Author(s) -
Stelle K.S.
Publication year - 2004
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200410165
Subject(s) - holonomy , quartic function , curvature , hyperkähler manifold , ricci flat manifold , string (physics) , physics , space (punctuation) , string theory , theoretical physics , supersymmetry , mathematical physics , pure mathematics , mathematics , geometry , scalar curvature , computer science , operating system
The quartic‐curvature corrections derived from string theory have a very specific impact on the geometry of target‐space manifolds of special holonomy. In the cases of Calabi‐Yau manifolds and D = 7 manifolds of G 2 holonomy, we show how the corrections conspire to preserve the unbroken supersymmetry of these backgrounds.