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D-Branes on Calabi-Yau Spaces and Their Mirrors

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arxiv hep-th/9606112 v2 pith:W6ZBE2RO submitted 1996-06-18 hep-th

classification hep-th
keywords calabi-yaud-branesboundarycyclesinstantonmanifoldmirrorstates
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the boundary states of D-branes wrapped around supersymmetric cycles in a general Calabi-Yau manifold. In particular, we show how the geometric data on the cycles are encoded in the boundary states. As an application, we analyze how the mirror symmetry transforms D-branes, and we verify that it is consistent with the conjectured periodicity and the monodromy of the Ramond-Ramond field configuration on a Calabi-Yau manifold. This also enables us to study open string worldsheet instanton corrections and relate them to closed string instanton counting. The cases when the mirror symmetry is realized as T-duality are also discussed.

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Cited by 4 Pith papers

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

  1. GLSM monodromy on quantum period lattice of Calabi-Yau fourfold flops

    hep-th 2026-08 conditional novelty 6.0 of 10

    For Calabi-Yau fourfold flops, the window-shift monodromy equals an EZ twist composed with tensoring by the canonical bundle, and in two example families this twist decomposes into spherical twists.

  2. All the D-Branes of Resurgence

    hep-th 2023-01 unverdicted novelty 6.0 of 10

    Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.

  3. D-branes in $AdS_2 \times H^2 \times H^2$ under the non-Abelian T-duality

    hep-th 2026-07 accept novelty 5.5 of 10

    Poisson-Lie T-duality on A2^{3} yields a singular dual of AdS2 imes H2 imes H2 that preserves asymptotics and maps D-branes into explicit duality chains via gluing matrices.

  4. Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Derives general formula for monodromy action on B-brane charge lattice via hemisphere partition functions in GLSMs and refines it for examples using quantum Kähler discriminant and torus link fundamental groups.

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