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A Generalized Construction of Mirror Manifolds
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A Generalized Construction of Mirror Manifolds
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We generalize the known method for explicit construction of mirror pairs of $(2,2)$-superconformal field theories, using the formalism of Landau-Ginzburg orbifolds. Geometrically, these theories are realized as Calabi-Yau hypersurfaces in weighted projective spaces. This generalization makes it possible to construct the mirror partners of many manifolds for which the mirror was not previously known.
Forward citations
Cited by 6 Pith papers
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The complete massless singlet spectrum in the free-field construction of heterotic strings on Calabi--Yau orbifolds
The massless E6 singlet spectra of Fermat-type Calabi–Yau orbifolds are determined by Shapovalov ranks, yielding 330 singlets for the quintic and new counts 210 and 258 for two orbifolds.
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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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Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces
Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.
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Free-Field Construction of Heterotic String Compactified on Calabi-Yau Orbifolds via Correspondence with $\mathcal{N}{=}2$ SCFT Minimal Models
Correspondence between free-field and minimal-model constructions for the Calabi-Yau sector of heterotic strings on Berglund-Hübsch orbifolds, with modular invariance verification.
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Beyond Algebraic Superstring Compactification: Part II
Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.
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Beyond Algebraic Solutions to Stringy Spacetime
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