More on the SW-QNM correspondence

Abstract

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 $SU(2)$ $\mathcal{N}=2$ 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.

33 pages plus appendices and 4 figures

References in corpus (11)

• Relativistic theory of tidal Love numbers
• Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
• Deforming SW curve
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
• Instability of supersymmetric microstate geometries
• Quasinormal resonances of near-extremal Kerr-Newman black holes
• Nekrasov prepotential with fundamental matter from the quantum spin chain
• Isomonodromy, Painlevé Transcendents and Scattering off of Black Holes
• Light rings of five-dimensional geometries
• Quasinormal modes of supersymmetric microstate geometries from the D1-D5 CFT
• Scalar/Dirac perturbations of the Reissner-Nordström black hole and Painlevé transcendents

Cited by in corpus (3)

• Turning black-holes and D-branes inside out their photon-spheres
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Correlations of mixed systems in confining backgrounds