On Local Calabi-Yau Supermanifolds and Their Mirrors

Details On Local Calabi-Yau Supermanifolds and Their Mirrors On Local Calabi-Yau Supermanifolds and Their Mirrors

2006-01-29

arxiv.org/abs/hep-th/0601215v1

J.Phys.A39:5965-5978,2006

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1088/0305-4470/39/20/022

We use local mirror symmetry to study a class of local Calabi-Yau super-manifolds with bosonic sub-variety V_b having a vanishing first Chern class. Solving the usual super- CY condition, requiring the equality of the total U(1) gauge charges of bosons \Phi_{b} and the ghost like fields \Psi_{f} one \sum_{b}q_{b}=\sum_{f}Q_{f}, as \sum_{b}q_{b}=0 and \sum_{f}Q_{f}=0, several examples are studied and explicit results are given for local A_{r} super-geometries. A comment on purely fermionic super-CY manifolds corresponding to the special case where q_{b}=0, \forall b and \sum_{f}Q_{f}=0 is also made.\bigskip

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