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PreprintarXiv licencearXiv

Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics

Abstract

We investigate the angular eigenvalue problem of the extreme charged C-metric. Starting from a constrained five-point Fuchsian description of the non-extremal angular equation, we obtain its extreme limit by decoupling a hypermultiplet in the dual four-dimensional 𝒩=2, SU(2)× SU(2) linear quiver gauge theory. We derive the parameter dictionary and renormalized Matone relations, and connect the physical limit Q→ M to the quiver decoupling by an explicit coordinate transformation. Regular endpoint conditions give an algebraic quantization condition. Eigenvalues obtained from the truncated instanton prepotential are tested against independent angular spectra near extremality and at larger acceleration. The axisymmetric sector recovers the known exact spectrum.

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BibTeX
@misc{yang2026decoupling,
  title = {{Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics}},
  author = {Peng Yang and Kilar Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.08747},
  eprint = {2607.08747},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.08747},
}
RIS
TY  - UNPB
TI  - Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics
AU  - Peng Yang
AU  - Kilar Zhang
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2607.08747
UR  - https://arxiv.org/abs/2607.08747
AB  - We investigate the angular eigenvalue problem of the extreme charged C-metric. Starting from a constrained five-point Fuchsian description of the non-extremal angular equation, we obtain its extreme limit by decoupling a hypermultiplet in the dual four-dimensional 𝒩=2, SU(2)× SU(2) linear quiver gauge theory. We derive the parameter dictionary and renormalized Matone relations, and connect the physical limit Q→ M to the quiver decoupling by an explicit coordinate transformation. Regular endpoint conditions give an algebraic quantization condition. Eigenvalues obtained from the truncated instanton prepotential are tested against independent angular spectra near extremality and at larger acceleration. The axisymmetric sector recovers the known exact spectrum.
ER  -