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Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua · Around

2010

Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua

Anderson, Lara B., Gray, James, Lukas, Andre et al.

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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.

Built on

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G.-M. Greuel, G. Pfister, and H. Schönemann, “Singular: a computer algebra system for polynomial computations,” Centre for Computer Algebra, University of Kaiserslautern (2001). Available at http://www.singular.uni-kl.de/
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