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- Title
Multiple mirrors and the JKLMR conjecture.
- Authors
Belavin, A. A.; Eremin, B. A.
- Abstract
We address the problem of the fulfillment of the conjecture proposed by Jockers et al. (JKLMR conjecture) on the equality of the partition function of a supersymmetric gauged linear sigma model on the sphere and the exponential of the Kähler potential on the moduli space of Calabi–Yau manifolds. The problem is considered for a specific class of Calabi–Yau manifolds that does not belong to the Fermat type class. We show that the JKLMR conjecture holds when a Calabi–Yau manifold of such type has a mirror partner in a weighted projective space that also admits a Calabi–Yau manifold of Fermat type . Moreover, the mirror for has the same special geometry on the moduli space of complex structures as the original .
- Subjects
CALABI-Yau manifolds; LOGICAL prediction; PARTITION functions; MIRRORS; MIRROR symmetry
- Publication
Theoretical & Mathematical Physics, 2022, Vol 213, Issue 1, p1441
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577922100105