Deformations of algebraic complete-intersection and toric superstring models indicate a non-algebraic generalization that matches mirror duality and calls for a broader heterotic analysis framework.
Periods for Calabi–Yau and Landau–Ginzburg vacua
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abstract
The complete structure of the moduli space of \cys\ and the associated Landau-Ginzburg theories, and hence also of the corresponding low-energy effective theory that results from (2,2) superstring compactification, may be determined in terms of certain holomorphic functions called periods. These periods are shown to be readily calculable for a great many such models. We illustrate this by computing the periods explicitly for a number of classes of \cys. We also point out that it is possible to read off from the periods certain important information relating to the mirror manifolds.
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Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.
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Beyond Algebraic Superstring Compactification: Part II
Deformations of algebraic complete-intersection and toric superstring models indicate a non-algebraic generalization that matches mirror duality and calls for a broader heterotic analysis framework.
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Beyond Algebraic Solutions to Stringy Spacetime
Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.