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Anomaly cancellation in M-theory on orbifolds

Krzysztof A. Meissner·Marek Olechowski
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Abstract

We present calculation of the anomaly cancellation in M-theory on orbifolds $S^1/Z_2$ and $T^5/Z_2$ in the upstairs approach. The main requirement that allows one to uniquely define solutions to the modified Bianchi identities in this case is that the field strength $G$ be globally defined on $S^1$ or $T^5$ and properly transforming under $Z_2$. We solve for general $G$ that satisfies these requirements and explicitly construct anomaly-free theories in the upstairs approach. We also obtain the solutions in the presence of five-branes. All these constructions show equivalence of the downstairs and upstairs approaches. For example in the $S^1/Z_2$ case the ten-dimensional gauge coupling and the anomaly cancellation at each wall are the same as in the downstairs approach.

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Krzysztof A. Meissner, Marek Olechowski. 2000-03-27. Anomaly cancellation in M-theory on orbifolds. https://doi.org/10.1016/s0550-3213(00)00456-9

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