Abelian Landau--Ginzburg Orbifolds and Mirror Symmetry

Details Abelian Landau--Ginzburg Orbifolds and Mirror Symmetry Abelian Landau--Ginzburg Orbifolds and Mirror Symmetry

1991-12-18

arxiv.org/abs/hep-th/9112047v1

Nucl.Phys. B372 (1992) 61-86

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1016/0550-3213(92)90312-Y

We construct a class of Heterotic String vacua described by Landau--Ginzburg theories and consider orbifolds of these models with respect to abelian symmetries. For LG--vacua described by potentials in which at most three scaling fields are coupled we explicitly construct the chiral ring and discuss its diagonalization with respect to its most general abelian symmetry. For theories with couplings between at most two fields we present results of an explicit construction of the LG--potentials and their orbifolds. The emerging space of (2,2)--theories shows a remarkable mirror symmetry. It also contains a number of new three--generation models.

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