Turning rotating D-branes and black holes inside out their photon-halo

Using conformal field theory and localization tecniques we study the propagation of scalar waves in gravity backgrounds described by Schrödinger like equations with Fuchsian singularities. Exact formulae for the connection matrices relating the asymptotic behaviour of the wave functions near the singularities are obtained in terms of braiding and fusion rules of the CFT. The results are applied to the study of quasi normal modes, absorption cross sections, amplification factors, echoes and tidal responses of black holes (BH) and exotic compact objects (ECO) in four and five dimensions. In particular, we propose a definition of dynamical Love numbers in gravity.

Section: Solutions Of the Einstein-maxwell Theory In Five Dimensionsmentioning

confidence: 93%

Section: Jhep12(2022)115 1 Introductionmentioning

confidence: 99%

CFT description of BH’s and ECO’s: QNMs, superradiance, echoes and tidal responses

Consoli

Fucito

Morales

et al. 2022

“…GW signals coming from a binary system can be described in analytic terms in the ringdown and inspiral phases. In [13][14][15][16][17][18][19][20], novel techniques capitalizing on recent advances in quantum field theories have been exploited to study the QNM's characterising the ringdown phase of the GW emission. More traditional analytical approaches to the dynamics of gravitationally interacting binary systems [21][22][23][24] have been successfully compared against gauge inspired scattering amplitude techniques [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43], effective field theories [44][45][46][47] in the description of the inspiral phase.…”

Section: Jhep03(2024)106mentioning

confidence: 99%

Post Newtonian emission of gravitational waves from binary systems: a gauge theory perspective

Fucito,

Morales

2024

Using the AGT correspondence and localization, we derive a combinatorial formula for the Post-Newtonian expansion of the wave form describing the gravitational emission from binary systems made of objects of extremely different masses. The results are written as a double instanton series describing the expansion of the gravitational wave at large distances and small velocities, and are tested against previous formulae in the literature for Schwarschild and Kerr black holes at the 5th and 3rd Post Newtonian order respectively beyond the quadrupole approximation. Tidal effects show up in the wave form at the 5th PN order, providing a quantitative measure of sizes and reflectivity properties of the gravity solution.

“…The small imaginary parts of the super-radiant modes of near extremal rotating BHs can be computed by means of the QNM-qSW correspondence [73]. Quite remarkably at extremality, one can also take advantage of generalised symmetry under Couch-Torrence conformal inversions [73][74][75][76] that exchanges horizon with infinity and keeps the photonsphere/halo fixed! [73,76]…”

Section: Other Observablesmentioning

confidence: 99%

“…Quite remarkably at extremality, one can also take advantage of generalised symmetry under Couch-Torrence conformal inversions [73][74][75][76] that exchanges horizon with infinity and keeps the photonsphere/halo fixed! [73,76]…”

Section: Other Observablesmentioning

confidence: 99%

2-charge circular fuzz-balls and their perturbations

Bianchi,

Di Russo

2023

Self Cite

We perform a detailed study of perturbations around 2-charge circular fuzz-balls and compare the results with the ones obtained in the case of ‘small’ BHs. In addition to the photon-sphere modes that govern the prompt ring-down, we also find a branch of long-lived QNMs localised inside the photon-sphere at the (meta)stable minimum of the radial effective potential. The latter are expected to dominate late time signals in the form of ‘echoes’. Moreover, contrary to ‘small’ BHs, some ‘static’ tidal Love numbers are non-zero and independent of the mass, charges and angular momentum of the fuzz-ball. We rely on the recently established connection between BH or fuzz-ball perturbation theory and quantum Seiberg-Witten curves for $$ \mathcal{N} $$ N = 2 SYM theories, which in turn are related to Liouville CFT via the AGT correspondence. We test our results against numerical results obtained with Leaver’s method of continuous fractions or Breit-Wigner resonance method for direct integration and with the WKB approximation based on geodesic motion. In the probe approximation, we also exclude rotational super-radiance, due to the absence of an ergo-region, and absorption, due to the absence of a horizon.