We study the Hawking radiation from Rotating black holes gravitational anomalies point of view. First, we show that scalar field theory near Kerr hole horizon can be reduced to 2-dimensional effective theory. Then, following Robinson and Wilczek, derive flux by requiring cancellation anomalies. also apply this method higher dimensional Myers-Perry holes. In appendix, present trace anomaly derivation argue validity boundary condition at horizon.

The out-of-time-order correlator (OTOC) is considered as a measure of quantum chaos. We formulate how to calculate the OTOC for mechanics with general Hamiltonian. demonstrate explicit calculations OTOCs harmonic oscillator, particle in one-dimensional box, circle billiard and stadium billiards. For first two cases, are periodic time because their commensurable energy spectra. billiards, they not recursive but saturate constant values which linear temperature. Although typical example...

A bstract Recently, Krylov complexity was proposed as a measure of and chaoticity quantum systems. We consider the stadium billiard typical example mechanical system obtained by quantizing classically chaotic system, numerically evaluate for operators states. Despite no exponential growth complexity, we find clear correlation between variances Lanczos coefficients classical Lyapunov exponents, also with statistical distribution adjacent spacings energy levels. This shows that can be chaos....

PURPOSE To determine the frequency of deletions p15/p16 genes in adult T-cell leukemia (ATL) cells and to evaluate their value diagnosis clinical subtypes ATL patients prediction outcome. MATERIALS AND METHODS Peripheral-blood samples from 114 with were examined by Southern blot analysis. In five chronic-type who showed disease progression acute type, serial also examined. RESULTS Among patients, 28 (24.6%) p15 and/or p16 genes. The results well correlated subtypes. Patients deleted had...

The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild with asymptotic flatness or strings even at energies for which KK modes are not excited yet, so that open a window in higher dimensions. Another important feature is apparently stable and, thereby, let us avoid Gregory-Laflamme instability. In present paper, evolution of scalar and gravitational perturbations time frequency domains considered these holes. field analyzed general rotating Gravitational so-called zero mode...

We study an anisotropic inflation model with a gauge kinetic function for non-abelian field. find that, in contrast to abelian models, the anisotropy can be either prolate or oblate type, which could lead different prediction from models statistical power spectrum of cosmological fluctuations. During reheating phase, we chaotic behaviour field is caused by nonlinear self-coupling compute Lyapunov exponent chaos turns out uncorrelated anisotropy.

A massless scalar field exhibits an instability at the event horizon of extreme black hole. We study numerically nonlinear evolution this for spherically symmetric perturbations Reissner–Nordstrom (RN) find that generically endpoint is a non-extreme RN solution. However, there exist fine-tuned initial which never decays. In case, perturbed spacetime describes time-dependent Such solutions settle down to outside, but not on, horizon. The remains smooth certain observers who cross it late time...

Clarifying conditions for the existence of a gravitational picture given quantum field theory (QFT) is one fundamental problems in AdS/CFT correspondence. We propose direct way to demonstrate dual black holes: imaging an Einstein ring. consider response function thermal QFT on two-dimensional sphere under time-periodic localized source. The gravity picture, if it exists, hole asymptotic global AdS_{4} and bulk probe with source AdS boundary. corresponds data propagating spacetime. find...

Thermal states in some quantum field theories (QFTs) correspond to black holes asymptotically AdS spacetime the AdS/CFT correspondence. We propose a direct procedure construct holographic images of hole bulk from given response function QFT on boundary. The with respect an external source corresponds asymptotic data generated by According wave optics, we can obtain propagating spacetime. For thermal state two-dimensional sphere dual Schwarzschild-AdS$_4$ hole, demonstrate that...

Human T-cell leukemia virus type-1 (HTLV-1) is the etiological agent of adult (ATL), and leukemic cells always carry proviral genome monoclonally integrated into their host genomes at same sequence site, designated as monoclonal integration. Using Southern blot hybridization (SBH) sequenced tagged site polymerase chain reaction assays, we examined status in 558 clinical specimens from 350 patients who are suspected to have ATL. A total 321 (57.5%) 241 showed positive results for integration...

We study the stability of five-dimensional Myers-Perry black holes with equal angular momenta which have an enlarged symmetry, U(2). Using this we derive master equations for a part metric perturbations are relevant to stability. Based on equations, prove under these perturbations. Our result gives strong evidence momenta.

We calculate the quantum radiation from 5-dimensional charged rotating black rings by demanding eliminate possible anomalies on horizons. It is shown that temperature, energy flux, and angular-momentum flux exactly coincide with those of Hawking radiation. The considered in this paper contain Myers-Perry hole as a limit, for hole, obtained literature, recovered limit. results support picture can be regarded anomaly eliminator horizons suggest its general applicability to higher-dimensional...

Various higher-dimensional black holes have been shown to be unstable by studying linearized gravitational perturbations. A simpler method for demonstrating instability is find initial data that describes a small perturbation of the hole and violates Penrose inequality. An easy way construct conformal rescaling unperturbed data. For compactified string, we which inequality almost exactly where Gregory-Laflamme appears. We then use confirm existence "ultraspinning" Myers-Perry holes. Finally...

Assigning a chaos index for dynamics of generic quantum field theories is challenging problem because the notion Lyapunov exponent, which useful singling out chaotic behavior, works only in classical systems. We address issue by using $\mathrm{AdS}/\mathrm{CFT}$ correspondence, as large ${N}_{c}$ limit provides classicalization (other than standard $\ensuremath{\hbar}\ensuremath{\rightarrow}0$) while keeping nontrivial condensation. demonstrate gauge theories: The time evolution homogeneous...

We conjecture a chaos energy bound, an upper bound on the dependence of Lyapunov exponent for any classical/quantum Hamiltonian mechanics and field theories. The states that $\ensuremath{\lambda}(E)$ grows no faster than linearly in total $E$ high limit. In other words, $c$ $\ensuremath{\lambda}(E)\ensuremath{\propto}{E}^{c}(E\ensuremath{\rightarrow}\ensuremath{\infty})$ satisfies $c\ensuremath{\le}1$. This stems from thermodynamic consistency out-of-time-order correlators applies to system...

A bstract We construct novel black strings that are neither time-translation invariant, nor axisymmetric, translationally invariant in the string direction, but nevertheless have a helical Killing vector field. These solutions branch from superradiant instability of D = 6 Myers-Perry with equal angular momenta. coin these as resonator and we find they more entropy than for energies momenta where both coexist. also Kaluza-Klein geons, which share symmetries strings, horizonless. Unlike other...

We study evolution of gravitational perturbations black strings. It is well known that for all wave numbers less than some threshold value, the string unstable against scalar type perturbations, which named Gregory-Laflamme instability. Using numerical methods, we find quasinormal modes and time-domain profiles in stable sector also show appearance instability time domain. The dependence spectrum late-time tails on such parameters as vector number extra dimensions discussed. There evidence...

An electric field quench, a suddenly applied field, can induce nontrivial dynamics in confining systems which may lead to thermalization as well deconfinement transition. In order analyze this nonequilibrium transitions, we use the AdS/CFT correspondence for $$ \mathcal{N}=2 supersymmetric QCD that has meson sector. We find quench causes transition even when magnitude of is smaller than critical value static case (which Schwinger limit quark-antiquark pair creation). The time dependence...

The relativistic electron population at MeV energy in the Van Allen radiation belts geostationary orbit largely varies association with solar wind disturbances. To provide alerts of possible satellite malfunctions due to deep‐dielectric charging during enhancements, National Institute Information and Communications Technology, Japan, developed an algorithm forecast daily >2 flux variations using a multivariate autoregressive model. We examined model accuracy by speed, north‐south...

We study chaos and turbulence on classical closed strings in nonintegrable string theory. The motion is considered the five-dimensional anti-de Sitter (AdS) soliton spacetime taken as target space. first revisit using a cohomogeneity-1 ansatz. then turn to turbulent behaviors of when spatial dependence world sheet included. Sensitivity initial conditions chaotic systems suggests that under tends stretch AdS Lyapunov time scale. In this process, orbital angular momentum transfers internal...