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arXiv · 2611.08584

Fermionic Kaluza-Klein Reductions

Francesco Bertucci
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Abstract

We work out the Kaluza--Klein (KK) compactification on a general product spacetime for free spin-1/2 and spin-3/2 fields in arbitrary dimension. The analysis is performed at the level of the action, and the resulting lower-dimensional theory describes infinite towers of massive particles whose masses are related to the eigenvalues of the Dirac and Rarita--Schwinger operators on the internal space. A Hodge-like decomposition is used to write down a KK ansatz for spin-3/2 fields, and the fate of gauge invariance is discussed.

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Francesco Bertucci. 2026-11-05. Fermionic Kaluza-Klein Reductions. https://arxiv.org/abs/2611.08584

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