Anomaly cancellation in M-theory on orbifolds

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.

latex, 14 pages

References in corpus (1)

• Supersymmetry Breakdown at Distant Branes: The Super-Higgs Mechanism

Cited by in corpus (4)

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• F-theory duals of M-theory on $S^1/{\mathbb{Z}}_2\times T^4/{\mathbb{Z}}_N$
• Improvement of a provisional solution of the quantum-corrected field equations of d = 11 supergravity on flat R^4 times a compact hyperbolic 7-manifold, and modes that decay along the beam line outside the interaction region at the LHC