Toric Calabi–Yau supermanifolds and mirror symmetry

@article{Belhaj2005ToricCS,
  title={Toric Calabi–Yau supermanifolds and mirror symmetry},
  author={Adil Belhaj and Lalla Btissam Drissi and J{\o}rgen Rasmussen and E. H. Saidi and Abdellah Sebbar},
  journal={Journal of Physics A},
  year={2005},
  volume={38},
  pages={6405-6418}
}
We study mirror symmetry of supermanifolds constructed as fermionic extensions of compact toric varieties. We mainly discuss the case where the linear sigma A-model contains as many fermionic fields as there are U(1) factors in the gauge group. In the mirror super-Landau-Ginzburg B-model, focus is on the bosonic structure obtained after integrating out all the fermions. Our key observation is that there is a relation between the super-Calabi-Yau conditions of the A-model and quasi-homogeneity… 
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34 Citations
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34 Citations

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