Higher-order corrections to non-compact Calabi-Yau manifolds in string theory View Full Text


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Article Info

DATE

2004-07-29

AUTHORS

Hong Lü, Christopher N. Pope, Kellogg S. Stelle

ABSTRACT

At the leading order, the low-energy effective field equations of string theory admit solutions in the form of products of Minkowski spacetime with 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 corrected Calabi-Yau space remains of Kähler structure, but is no longer Ricci-flat. We discuss the nature of these corrections at order α'3, and consider the deformations of the known cohomogeneity-one non-compact Kähler 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 the cohomogeneity-one examples. More... »

PAGES

072

References to SciGraph publications

  • 2002-08-26. Four dimensional ℛ4 superinvariants through gauge completion in JOURNAL OF HIGH ENERGY PHYSICS
  • 2001-09-19. Four dimensional N = 1 supersymmetrization of ℛ4 in superspace in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-09-22. D3-branes on the Coulomb branch and instantons in JOURNAL OF HIGH ENERGY PHYSICS
  • 1978-08. ℂP2 as a gravitational Instanton in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2003-01. Ricci-Flat Metrics, Harmonic Forms and Brane Resolutions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1088/1126-6708/2004/07/072

    DOI

    http://dx.doi.org/10.1088/1126-6708/2004/07/072

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    38 schema:description At the leading order, the low-energy effective field equations of string theory admit solutions in the form of products of Minkowski spacetime with 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 corrected Calabi-Yau space remains of Kähler structure, but is no longer Ricci-flat. We discuss the nature of these corrections at order α'3, and consider the deformations of the known cohomogeneity-one non-compact Kähler 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 the cohomogeneity-one examples.
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