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arXiv · 2502.15627

Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory

Xian-Hui Ge·Masataka Matsumoto·Kilar Zhang
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Abstract

We unify the dynamics of massive vector (Proca) fields in Schwarzschild spacetime with supersymmetric gauge theories through the Seiberg-Witten/quasinormal mode (SW/QNM) duality. By mapping Proca perturbations-specifically monopole and odd-parity modes governed by confluent Heun equations-to the quantum Seiberg-Witten curve, we establish a gauge-gravity correspondence. Leveraging instanton counting, we analytically compute QNM and quasi-bound state frequencies to high precision, resolving spectral properties non-perturbatively. Our results align with numerical benchmarks while extending the SW framework beyond scalar fields.

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Xian-Hui Ge, Masataka Matsumoto, Kilar Zhang. 2025-02-21. Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory. https://doi.org/10.1103/3dwl-gg8g

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