Super Picard-Fuchs Equation and Monodromies for Supermanifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, LaTeX; v3: Journal version, to appear in JMP

Scientific paper

10.1063/1.2426418

Following [1] and [2], we discuss the Picard-Fuchs equation for the super Landau-Ginsburg mirror to the super-Calabi-Yau in WCP^(3|2)[1,1,1,3|1,5], (using techniques of [3,4]) Meijer basis of solutions and monodromies (at 0,1 and \infty) in the large and small complex structure limits, as well as obtain the mirror hypersurface, which in the large Kaehler limit, turns out to be either a bidegree-(6,6) hypersurface in WCP^(3|1)[1,1,1,2] x WCP^(1|1)[1,1|6] or a (Z_2-singular) bidegree-(6,12) hypersurface in WCP^(3|1)[1,1,2,6|6] x WCP^(1|1)[1,1|6].

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