Generalized mirror symmetry and trace anomalies
Abstract
We consider compactification of M-theory on X7 with betti numbers (b0, b1, b2, b3, b3, b2, b1, b0) and define a generalized mirror symmetry (b0, b1, b2, b3) goes to (b0, b1, b2 -rho/2, b3+rho/2)$ under which rho = 7b0-5b1+3b2 -b3 changes sign. Generalized self-mirror theories with rho=0 have massless sectors with vanishing trace anomaly (before dualization). Examples include pure supergravity with N ≥ 4 and supergravity plus matter with N ≤ 4.
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