Modular Symmetries, Threshold Corrections And Moduli For $Z_2 \times Z_2 $ Orbifolds

Details Modular Symmetries, Threshold Corrections And Moduli For $Z_2 \times Z_2 $ Orbifolds Modular Symmetries, Threshold Corrections And Moduli For $Z_2 \times Z_2 $ Orbifolds

1994-07-08

arxiv.org/abs/hep-th/9407049v1

Mod.Phys.Lett. A10 (1995) 337-346

Physics

High Energy Physics

High Energy Physics - Theory

QMW--TH--94/18, 12 pages

Scientific paper

${\bf Z}_2\times {\bf Z}_2$ Coxeter orbifolds are constructed with the property that some twisted sectors have fixed planes for which the six-torus can not be decomposed into a direct sum ${\bf T}^2\bigoplus{\bf T}^4 $ with the fixed plane lying in ${\bf T}^2$. The string loop threshold corrections to the gauge coupling constants are derived, and display symmetry groups for the $T$ and $U$ moduli that are subgroups of the full modular group $PSL(2,Z)$. The effective potential for duality invariant gaugino condensate in the presence of hidden sector matter is constructed and minimized for the values of the moduli. The effect of Wilson lines on the modular symmetries is also studied.

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