Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves

Details Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves

1996-12-09

arxiv.org/abs/hep-th/9612085v3

Nucl.Phys. B499 (1997) 125-148

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, harvmac, 1 figure, minor corrections

Scientific paper

10.1016/S0550-3213(97)00312-X

We study limits of four-dimensional type II Calabi-Yau compactifications with vanishing four-cycle singularities, which are dual to $\IT^2$ compactifications of the six-dimensional non-critical string with $E_8$ symmetry. We define proper subsectors of the full string theory, which can be consistently decoupled. In this way we obtain rigid effective theories that have an intrinsically stringy BPS spectrum. Geometrically the moduli spaces correspond to special geometry of certain non-compact Calabi-Yau spaces of an intriguing form. An equivalent description can be given in terms of Seiberg-Witten curves, given by the elliptic simple singularities together with a peculiar choice of meromorphic differentials. We speculate that the moduli spaces describe non-perturbative non-critical string theories.

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