Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-29
J.Phys. A38 (2005) 6405-6418
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, v2: references added
Scientific paper
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 of the B-model, and that the degree of the associated superpotential in the B-model is given in terms of the determinant of the fermion charge matrix of the A-model.
Belhaj Adil
Drissi Lalla Btissam
Rasmussen Jorgen
Saidi El Hassan
Sebbar Abdellah
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