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Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces

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arxiv hep-th/9406055 v2 pith:HBRIIU4H submitted 1994-06-09 hep-th math.QA

classification hep-thmath.QA
keywords completespacesintersectionsmirrormoduliambientcouplingsequations
verification ladder T0 review T1 audit T2 compute T3 formal
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We extend the discussion of mirror symmetry, Picard-Fuchs equations, instanton-corrected Yukawa couplings, and the topological one-loop partition function to the case of complete intersections with higher-dimensional moduli spaces. We will develop a new method of obtaining the instanton-corrected Yukawa couplings through a close study of the solutions of the Picard-Fuchs equations. This leads to closed formulas for the prepotential for the K\"ahler moduli fields induced from the ambient space for all complete intersections in non singular weighted projective spaces. As examples we treat part of the moduli space of the phenomenologically interesting three-generation models that are found in this class. We also apply our method to solve the simplest model in which a topology change was observed and discuss examples of complete intersections in singular ambient spaces.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    Electric and magnetic BPS towers in 5d supergravity are conjectured to co-scale and align, and a new S-map is conjectured to characterize the magnetic infinity cone of a Calabi-Yau threefold.

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    A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.

  5. On BPS Branes

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    The paper defines cones C_BPS-B and C_BPS-BB for BPS branes in supergravity and conjectures that states in C_BPS-BB are realized as BPS states with C_BPS-B as their electric-magnetic dual when moduli-independent.

  6. CIPro Package: Complete Intersections in Products of Projective Spaces and Line Bundles

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    CIPro provides computational tools for complete intersection varieties and line bundles, including consolidated Calabi-Yau data for string theory applications.

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