Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
arXiv:2502.15627 · doi:10.1103/3dwl-gg8g
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.
19 pages, 3 tables, 2 figures; v2: minor revisions, published version
References in corpus (27)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quasinormal modes of black holes and black branes
- Quasi-Normal Modes of Stars and Black Holes
- TianQin: a space-borne gravitational wave detector
- Quasinormal modes of black holes: from astrophysics to string theory
- Liouville Correlation Functions from Four-dimensional Gauge Theories
- Tidal Love numbers of neutron stars
- Solutions Of Four-Dimensional Field Theories Via M Theory
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Taiji Program: Gravitational-Wave Sources
- Probing Ultralight Bosons with Binary Black Holes
- Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
- Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
- The Spectra of Gravitational Atoms
- Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states
- Exact solution of Kerr black hole perturbations via CFT and instanton counting. Greybody factor, Quasinormal modes and Love numbers
- Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
- Irregular Liouville correlators and connection formulae for Heun functions
- Massive vector field perturbations in the Schwarzschild background: stability and quasinormal spectrum
- CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
- On the Role of Chaos in the AdS/CFT Connection
- Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks
- Q-deformed Painleve tau function and q-deformed conformal blocks
- Analyticity of Nekrasov Partition Functions
- Quasinormal Modes of C-metric from SCFTs
- Duality between Seiberg-Witten Theory and Black Hole Superradiance
- Seiberg-Witten Geometry of Four-Dimensional Quiver Gauge Theories