String and M-theory Deformations of Manifolds with Special Holonomy

Details String and M-theory Deformations of Manifolds with Special Holonomy String and M-theory Deformations of Manifolds with Special Holonomy

2004-10-18

arxiv.org/abs/hep-th/0410176v4

JHEP 0507:075,2005

Physics

High Energy Physics

High Energy Physics - Theory

Improved discussion of SU(5) holonomy backgrounds. Other minor typos corrected. Latex with JHEP3.cls, 42 pages

Scientific paper

10.1088/1126-6708/2005/07/075

The R^4-type corrections to ten and eleven dimensional supergravity required by string and M-theory imply corrections to supersymmetric supergravity compactifications on manifolds of special holonomy, which deform the metric away from the original holonomy. Nevertheless, in many such cases, including Calabi-Yau compactifications of string theory and G_2-compactifications of M-theory, it has been shown that the deformation preserves supersymmetry because of associated corrections to the supersymmetry transformation rules, Here, we consider Spin(7) compactifications in string theory and M-theory, and a class of non-compact SU(5) backgrounds in M-theory. Supersymmetry survives in all these cases too, despite the fact that the original special holonomy is perturbed into general holonomy in each case.

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