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arXiv · 1009.4439

Generalized mirror symmetry and trace anomalies

M. J. Duff·S. Ferrara
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Abstract

We consider compactification of M-theory on X7 with betti numbers (b_0, b_1, b_2, b_3, b_3, b_2, b_1, b_0) and define a generalized mirror symmetry (b_0, b_1, b_2, b_3) goes to (b_0, b_1, b_2 -rho/2, b_3+rho/2)$ under which rho = 7b_0-5b_1+3b_2 -b_3 changes sign. Generalized self-mirror theories with rho=0 have massless sectors with vanishing trace anomaly (before dualization). Examples include pure supergravity with N \geq 4 and supergravity plus matter with N \leq 4.

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M. J. Duff, S. Ferrara. 2010-09-22. Generalized mirror symmetry and trace anomalies. https://doi.org/10.1088/0264-9381%2F28%2F6%2F065005

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