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3d Mirror Symmetry is Mirror Symmetry

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arxiv 2410.03611 v1 pith:CEQDUYCT submitted 2024-10-04 math-ph math.AGmath.MPmath.RTmath.SG

Ki Fung Chan , Naichung Conan Leung This is my paper · ORCID
classification math-phmath.AGmath.MPmath.RTmath.SG
keywords mirrorsymmetrymanifoldsahleranalogcertiancomplexdescribe
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3d mirror symmetry is a mysterious duality for certian pairs of hyperk\"ahler manifolds, or more generally complex symplectic manifolds/stacks. In this paper, we will describe its relationships with 2d mirror symmetry. This could be regarded as a 3d analog of the paper "Mirror Symmetry is T-Duality" by Strominger, Yau and Zaslow which described 2d mirror symmetry via 1d dualities.

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Cited by 2 Pith papers

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

  1. Functoriality of Coulomb branches

    math.AG 2025-01 conditional novelty 7.0 of 10

    Gluable maps of reductive groups make Coulomb branches compose via Hamiltonian reduction, yielding a proof that T^*(G/U_P) for GL_n and SL_n is a Coulomb branch.

  2. Mirror symmetry in 3d in 3d mirror symmetry

    hep-th 2026-07 reject novelty 5.0 of 10

    For a CY3 Y, the paper sketches a 3d SYZ relation between the universal intermediate Jacobians X and X^!, but the key brane-category matchings are built into the definitions.

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