Discrete symmetries and the complex structure of CalabiYau manifolds
Abstract
We show how the discrete symmetries, which may be present after CalabiYau compactification for specific choices of the complex structure, extend to the h_{2,1} moduli  the scalar fields whose vacuum expectation values determine the complex structure. This allows us to determine much about the coupling of the moduli and hence the energetically favoured complex structure. The discrete symmetry transformation properties of the moduli are worked out in detail for a threegeneration CalabiYau model and it is shown how minimization of the effective potential involving these fields selects the complex structure which leaves unbroken a set of discrete symmetries. The phenomenological implications of these symmetries are briefly discussed.
On sabbatical leave from the University of Oxford, OX1 3NP Oxford, UK.
 Publication:

Physics Letters B
 Pub Date:
 January 1988
 DOI:
 10.1016/03702693(88)901499
 Bibcode:
 1988PhLB..200..441R