### Abstract

The instanton moduli space of a real 4-dimensional torus is an 8-dimensional Calabi-Yau manifold. Associated to this Calabi-Yau manifold are two (singular) K3 surfaces, one a quotient, the other a submanifold of the moduli space; both carry a natural Calabi-Yau metric. They are curiously related in much the same way as special examples of complex 3-dimensional mirror manifolds; however, in our case the "mirror" is present in the form of instanton moduli.

Original language | English (US) |
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Pages (from-to) | 641-646 |

Number of pages | 6 |

Journal | Communications in Mathematical Physics |

Volume | 143 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1992 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

*143*(3), 641-646. https://doi.org/10.1007/BF02099270

**Instantons and mirror K3 surfaces.** / Bogomolov, Fedor; Braam, Peter J.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 143, no. 3, pp. 641-646. https://doi.org/10.1007/BF02099270

}

TY - JOUR

T1 - Instantons and mirror K3 surfaces

AU - Bogomolov, Fedor

AU - Braam, Peter J.

PY - 1992/1

Y1 - 1992/1

N2 - The instanton moduli space of a real 4-dimensional torus is an 8-dimensional Calabi-Yau manifold. Associated to this Calabi-Yau manifold are two (singular) K3 surfaces, one a quotient, the other a submanifold of the moduli space; both carry a natural Calabi-Yau metric. They are curiously related in much the same way as special examples of complex 3-dimensional mirror manifolds; however, in our case the "mirror" is present in the form of instanton moduli.

AB - The instanton moduli space of a real 4-dimensional torus is an 8-dimensional Calabi-Yau manifold. Associated to this Calabi-Yau manifold are two (singular) K3 surfaces, one a quotient, the other a submanifold of the moduli space; both carry a natural Calabi-Yau metric. They are curiously related in much the same way as special examples of complex 3-dimensional mirror manifolds; however, in our case the "mirror" is present in the form of instanton moduli.

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UR - http://www.scopus.com/inward/citedby.url?scp=34249832427&partnerID=8YFLogxK

U2 - 10.1007/BF02099270

DO - 10.1007/BF02099270

M3 - Article

VL - 143

SP - 641

EP - 646

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -