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Complex/Symplectic Mirrors

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Abstract

We construct a class of symplectic non-Kähler and complex non-Kähler string theory vacua, extending and providing evidence for an earlier suggestion by Polchinski and Strominger. The class admits a mirror pairing by construction. Comparing hints from a variety of sources, including ten-dimensional supergravity and KK reduction on SU(3)-structure manifolds, suggests a picture in which string theory extends Reid’s fantasy to connect classes of both complex non-Kähler and symplectic non-Kähler manifolds.

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Authors and Affiliations

  1. ITP, Stanford University, Stanford, CA, 94305, USA

    Wu-yen Chuang, Shamit Kachru & Alessandro Tomasiello

  2. SLAC, Stanford University, Menlo Park, CA, 94309, USA

    Wu-yen Chuang & Shamit Kachru

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  1. Wu-yen Chuang
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  2. Shamit Kachru
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  3. Alessandro Tomasiello
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Correspondence to Alessandro Tomasiello.

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Communicated by M.R. Douglas

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Chuang, Wy., Kachru, S. & Tomasiello, A. Complex/Symplectic Mirrors. Commun. Math. Phys. 274, 775–794 (2007). https://doi.org/10.1007/s00220-007-0262-y

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