Super Landau-Ginzburg mirrors and algebraic cycles

Abstract

We investigate the super Landau-Ginzburg mirrors of gauged linear sigma models which, in an appropriate low energy limit, reduce to nonlinear sigma models with Kaehler supermanifold target spaces of nonnegative super-first Chern class.Comment: 29 pages, 5 figures, uses edited version of jheppub.sty. Dedicated to our dear friend and coauthor Maximilian Kreuzer, who died November 26, 2010. v3: Modifications to the Introduction, Equations (4.2), (5.2), and (6.2), and Remark 8.2. v2: Theorem A.1 and Corollary A.1 corrected; corresponding changes made in Section 4. Minor change in Section 2. Minor changes in Section