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More on the SW-QNM correspondence
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More on the SW-QNM correspondence
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We exploit the recently proposed correspondence between gravitational perturbations and quantum Seiberg-Witten curves to compute the spectrum of quasi-normal modes of asymptotically flat Kerr Newman black holes and establish detailed gauge/gravity dictionaries for a large class of black holes, D-branes and fuzzballs in diverse dimensions. QNM frequencies obtained from the quantum periods of $SU(2)$ ${\cal N}=2$ SYM with $N_f=3$ flavours are compared against numerical results, WKB (eikonal) approximation and geodetic motion showing remarkable agreement. Starting from the master example relating quasi-normal modes of Kerr-Newman black holes in AdS$_4$ to $SU(2)$ gauge theory with $N_f=4$, we illustrate the procedure for some simple toy-models that allow analytic solutions. We also argue that the AGT version of the gauge/gravity correspondence may give precious hints as to the physical/geometric origin of the quasi-normal modes/Seiberg-Witten connection and further elucidate interesting properties (such as tidal Love numbers and grey-body factors) that can help discriminating black holes from fuzzballs.
Forward citations
Cited by 6 Pith papers
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5d Schwarzschild-Tangherlini spacetime: MST-like formalism for a Reduced Confluent Heun Equation
An original MST-like formalism is constructed for the reduced confluent Heun radial equation of 5D Schwarzschild-Tangherlini scalars, validated by matching the renormalized angular momentum to the quantum Seiberg-Witt...
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Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Seiberg-Witten instanton expansions combined with exact WKB period integrals allow analytic computation and continuation of quasinormal modes from large q to q=0.
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Higher-derivative gravity corrections to binary gravitational waveforms and energy fluxes appear at 5PN order and scale universally with the black hole's ℓ=2 Love number.
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Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization
Maps scalar perturbations around extremal charged black holes to Seiberg-Witten quantization to obtain the first non-perturbative quasinormal mode spectrum for charged massive fields.
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Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics
Angular eigenvalues of the extreme charged C-metric are computed analytically via a confluent limit of SU(2)×SU(2) quiver gauge theory, matching numerical results.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
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