Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
High Energy Physics - Theory
2025-09-01 v2 High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2502.15627,
title = {Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory},
author = {Xian-Hui Ge and Masataka Matsumoto and Kilar Zhang},
journal= {arXiv preprint arXiv:2502.15627},
year = {2025}
}
Comments
19 pages, 3 tables, 2 figures; v2: minor revisions, published version