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arXiv · hep-th/0311018

Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory

H. Lu·C. N. Pope·K. S. Stelle
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Abstract

At the leading order, the low-energy effective field equations in string theory admit solutions of the form of products of Minkowski spacetime and a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders in α', which imply that the Ricci-flat Calabi-Yau space is modified. In an appropriate choice of scheme, the Calabi-Yau space remains Kahler, but is no longer Ricci-flat. We discuss the nature of these corrections at order {α'}^3, and consider the deformations of all the known cohomogeneity one non-compact Kahler metrics in six and eight dimensions. We do this by deriving the first-order equations associated with the modified Killing-spinor conditions, and we thereby obtain the modified supersymmetric solutions. We also give a detailed discussion of the boundary terms for the Euler complex in six and eight dimensions, and apply the results to all the cohomogeneity one examples.

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H. Lu, C. N. Pope, K. S. Stelle. 2004-01-08. Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory. https://doi.org/10.1088/1126-6708%2F2004%2F07%2F072

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