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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