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  • Open Access

Analytic computation of dilaton black hole quasinormal modes via the Seiberg-Witten theory

Jiahui Jiang and Wenhe Cai*

  • Department of Physics and Institute for Quantum Science and Technology, Shanghai University, Shanghai 200444, People’s Republic of China

  • *Contact author: whcai@shu.edu.cn
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Phys. Rev. D 113, 046007 – Published 10 February, 2026

DOI: https://doi.org/10.1103/71pw-vxlw

Abstract

We study the quasinormal modes (QNMs) of dilaton black holes in Einstein-Maxwell-dilaton gravity through a correspondence with the quantum Seiberg-Witten (SW) curve of N=2 SU(2) gauge theory with Nf=3 hypermultiplets. By mapping both the black hole perturbation equation and the quantum SW curve to the confluent Heun form, the QNM problem is reformulated in a gauge-theoretic framework, and the spectrum is obtained via the SW quantization condition. The resulting frequencies show excellent agreement with those computed using the WKB and continued fraction methods, with typical deviations below 10−3. The QNM spectrum exhibits consistent trends: increasing the black hole charge or scalar field mass raises the oscillation frequency, while higher angular momentum reduces the damping rate. These results demonstrate the precision of the quantum SW framework in describing black hole perturbations and reveal new links between supersymmetric gauge theories and gravitational dynamics.

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Phys. Rev. D 113, 046007– Published 10 February, 2026
  • Received 29 November 2025
  • Accepted 20 January 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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