String Corrected Spacetimes and SU(N)-Structure Manifolds

Abstract

Using an effective field theory approach and the language of SU(N)-structures, we study higher derivative corrections to the supersymmetry constraints for compactifications of string or M-theory to Minkowski space. Our analysis is done entirely in the target space and is thus very general, and does not rely on theory-dependent details such as the amount of worldsheet supersymmetry. For manifolds of real dimension n<4 we show that the internal geometry remains flat and uncorrected. For n=4, 6, Kahler manifolds with SU(N)-holonomy can become corrected to SU(N)-structure, while preserving supersymmetry, once corrections are included.

27 pages

References in corpus (2)

• The ${\alpha }^{\prime }$ Expansion On A Compact Manifold Of Exceptional Holonomy
• Calabi-Yau metrics and string compactification

Cited by in corpus (2)

• M-theory and G_2 Manifolds
• The alpha'-Expansion of Calabi-Yau Compactifications