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) |
|---|---|
| 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
Instantons and mirror K3 surfaces. / Bogomolov, Fedor; Braam, Peter J.
In: Communications in Mathematical Physics, Vol. 143, No. 3, 01.1992, p. 641-646.Research output: Contribution to journal › Article
}
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.
UR - http://www.scopus.com/inward/record.url?scp=34249832427&partnerID=8YFLogxK
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 -