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arXiv · 1503.04237

String Corrected Spacetimes and SU(N)-Structure Manifolds

Katrin Becker·Melanie Becker·Daniel Robbins
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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.

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Katrin Becker, Melanie Becker, Daniel Robbins. 2015-03-13. String Corrected Spacetimes and SU(N)-Structure Manifolds. https://doi.org/10.1016/j.nuclphysb.2015.04.012

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