Kavli Affiliate: Taizan Watari
| First 5 Authors: Keita Kanno, Taizan Watari, , ,
| Summary:
It is an important question in string compactification whether complex
structure moduli stabilization inevitably ends up with a vacuum expectation
value of the superpotential < W > of the order of the Planck scale cubed. Any
thoughts on volume stabilization and inflation in string theory, as well as on
phenomenology of supersymmetric Standard Models, will be affected by the answer
to this question. In this work, we follow an idea for making < W > $simeq$ 0
where the internal manifold has a vacuum complex structure with arithmetic
characterization, and address Calabi–Yau fourfold compactification of
F-theory. The moduli space of K3 x K3 orbifolds contain infinitely many such
vacua. Arithmetic conditions for a < W > =0 flux are worked out, and then all
the K3 moduli have supersymmetric mass. Possible gauge groups, matter
representations and discrete symmetries are studied for the case of
Z_2-orbifolds.
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