R. Schimmrigk, CRITICAL SUPERSTRING VACUA FROM NONCRITICAL MANIFOLDS - A NOVEL FRAMEWORK FOR STRING COMPACTIFICATION AND MIRROR SYMMETRY, Physical review letters, 70(24), 1993, pp. 3688-3691
A new framework is found for the compactification of supersymmetric st
ring theory. It is shown that the massless spectra of critical string
vacua with central charge c = 3D(crit) can be derived from manifolds o
f complex dimension D(crit) + 2(Q - 1), Q greater-than-or-equal-to 1,
whose first Chern class is quantized in a particular way. This new cla
ss is more general than that of Calabi-Yau manifolds because it contai
ns spaces corresponding to vacua with no Kahler deformations, i.e., no
antigenerations, thus providing mirrors of rigid Calabi-Yau manifolds
. The constructions introduced here lead to new insights into the rela
tion between Landau-Ginzburg vacua on the one hand and Calabi-Yau mani
folds on the other.