Non-compact Calabi--Yau Manifolds and Localized Gravity

Details Non-compact Calabi--Yau Manifolds and Localized Gravity Non-compact Calabi--Yau Manifolds and Localized Gravity

2002-09-04

arxiv.org/abs/hep-th/0209030v2

Nucl.Phys. B648 (2003) 69-93

Physics

High Energy Physics

High Energy Physics - Theory

harvmac, 28 pages. v2: changes to the reference list, minor corrections to the text. Version to appear in NPB

Scientific paper

10.1016/S0550-3213(02)00974-4

We study localization of gravity in flat space in superstring theory. We find that an induced Einstein-Hilbert term can be generated only in four dimensions, when the bulk is a non-compact Calabi-Yau threefold with non-vanishing Euler number. The origin of this term is traced to R^4 couplings in ten dimensions. Moreover, its size can be made much larger than the ten-dimensional gravitational Planck scale by tuning the string coupling to be very small or the Euler number to be very large. We also study the width of the localization and discuss the problems for constructing realistic string models with no compact extra dimensions.

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