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arXiv · 2610.29068

Graviphoton mixing with KK modes in the 2D effective theory of charged black holes

Yoshihiko Abe·Tetsutaro Higaki·Yu Miyauchi
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Abstract

We study the effects of massive Kaluza--Klein modes on the two-dimensional low-energy effective theory obtained by the $S^2$ reduction of four-dimensional Einstein--Maxwell theory on a Reissner--Nordström black hole background. We retain the first excited ($l=1$) Maxwell Kaluza--Klein modes in addition to the massless sector. The background electric flux mixes the Maxwell Kaluza--Klein scalars with the graviphotons, and tree-level exchange of the massive scalars generates a correction to the graviphoton kinetic term proportional to the square of the black hole charge. Within the leading local approximation, we also perturbatively evaluate the one-loop correction to the graviphoton kinetic term and find no dependence on the black hole charge. We find that near extremality, the charge-dependent tree-level correction becomes parametrically comparable to the classical graviphoton kinetic term.

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Yoshihiko Abe, Tetsutaro Higaki, Yu Miyauchi. 2026-10-21. Graviphoton mixing with KK modes in the 2D effective theory of charged black holes. https://arxiv.org/abs/2610.29068

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