Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua - High Energy Physics - TheoryReport as inadecuate




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Abstract: In this paper, we show that the presence of gauge fields in heteroticCalabi-Yau compacitifications causes the stabilisation of some, or all, of thecomplex structure moduli of the Calabi-Yau manifold while maintaining aMinkowski vacuum. Certain deformations of the Calabi-Yau complex structure,with all other moduli held fixed, can lead to the gauge bundle becomingnon-holomorphic and, hence, non-supersymmetric. This leads to an F-termpotential which stabilizes the corresponding complex structure moduli. We use10- and 4-dimensional field theory arguments as well as a derivation basedpurely on algebraic geometry to show that this picture is indeed correct. Anexplicit example is presented in which a large subset of complex structuremoduli is fixed. We demonstrate that this type of theory can serve as thehidden sector in heterotic vacua and can co-exist with realistic particlephysics.



Author: Lara B. Anderson, James Gray, Andre Lukas, Burt Ovrut

Source: https://arxiv.org/







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