Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds

Sergio Ferrara; Ruben Minasian; Augusto Sagnotti

doi:10.1016/0550-3213(96)00268-4

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arXiv · hep-th/9604097

Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds

Sergio Ferrara·Ruben Minasian·Augusto Sagnotti

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Abstract

We elucidate the interplay between gauge and supersymmetry anomalies in six-dimensional $N=1$ supergravity with generalized couplings between tensor and vector multiplets. We derive the structure of the five-dimensional supergravity resulting from the $S_1$ reduction of these models and give the constraints on Chern-Simons couplings that follow from duality to $M$ theory compactified on a Calabi-Yau threefold. The duality is supported only on a restricted class of Calabi-Yau threefolds and requires a special type of intersection form. We derive five-dimensional central-charge formulas and discuss briefly the associated phase transitions. Finally, we exhibit connections with $F$-theory compactifications on Calabi-Yau manifolds that admit elliptic fibrations. This analysis suggests that $F$ theory unifies Type-$IIb$ three-branes and $M$-theory five-branes.

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Sergio Ferrara, Ruben Minasian, Augusto Sagnotti. 1996-06-26. Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds. https://doi.org/10.1016/0550-3213(96)00268-4

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