Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua

Details Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua

2010-10-01

arxiv.org/abs/1010.0255v1

JHEP 1102:088,2011

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex

Scientific paper

10.1007/JHEP02(2011)088

In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compacitifications causes the stabilisation of some, or all, of the complex structure moduli of the Calabi-Yau manifold while maintaining a Minkowski vacuum. Certain deformations of the Calabi-Yau complex structure, with all other moduli held fixed, can lead to the gauge bundle becoming non-holomorphic and, hence, non-supersymmetric. This leads to an F-term potential which stabilizes the corresponding complex structure moduli. We use 10- and 4-dimensional field theory arguments as well as a derivation based purely on algebraic geometry to show that this picture is indeed correct. An explicit example is presented in which a large subset of complex structure moduli is fixed. We demonstrate that this type of theory can serve as the hidden sector in heterotic vacua and can co-exist with realistic particle physics.

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