Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911128793120768 |
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| author | Ge, Xian-Hui Matsumoto, Masataka Zhang, Kilar |
| author_facet | Ge, Xian-Hui Matsumoto, Masataka Zhang, Kilar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15627 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory Ge, Xian-Hui Matsumoto, Masataka Zhang, Kilar High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics 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. |
| title | Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2502.15627 |