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PreprintCC BY 4.0arXiv

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 S2 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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Cite

BibTeXRIS
BibTeX
@misc{abe2026graviphoton,
  title = {{Graviphoton mixing with KK modes in the 2D effective theory of charged black holes}},
  author = {Yoshihiko Abe and Tetsutaro Higaki and Yu Miyauchi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29068},
  eprint = {2610.29068},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29068},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Graviphoton mixing with KK modes in the 2D effective theory of charged black holes
AU  - Yoshihiko Abe
AU  - Tetsutaro Higaki
AU  - Yu Miyauchi
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29068
UR  - https://arxiv.org/abs/2610.29068
AB  - 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.
ER  -