46 citations · 54 across the 16 of their papers we have counts for
17 papers
OPE = QNM
Paolo Arnaudo, Cristoforo Iossa, Robin Karlsson +1
At microscopic scales the linear response of thermal states of large- CFTs is governed by a thermal operator product expansion (OPE), while at large scales response is governed…
Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Inês Aniceto, Paolo Arnaudo, Alex Ratcliffe +1
We study perturbations of Yang-Mills plasma, represented by scalar quasinormal modes of AdS black branes, as functions of the wave number in the entire range from zero to infin…
Bouncing singularities in Schwarzschild: a geometric origin of the QNM convergence region
Paolo Arnaudo, Benjamin Withers
We show analytically that the convergence of the QNM expansion of the retarded Green's function of the Schwarzschild spacetime is set by a singularity in the complex time plane. Th…
Analytic structure of holographic thermal correlators from Fourier series
Paolo Arnaudo, Benjamin Withers
We compute the holographic Euclidean two-point function of scalar operators in a thermal state. We work directly using the Fourier series on the thermal circle. The Fourier series…
Shear mode transport coefficients from multiple polylogarithms
Paolo Arnaudo
We present an analytical study of the transport coefficients associated with the shear sector of gravitational perturbations around asymptotically anti-de Sitter black branes. In t…
Price's law from quasinormal modes
Paolo Arnaudo, Benjamin Withers
We show that Price's power-law tail for perturbations of Schwarzschild, as , can be obtained from a sum of Schwarzschild-de Sitter quasinormal modes in…
Beyond quasinormal modes: a complete mode decomposition of black hole perturbations
Paolo Arnaudo, Javier Carballo, Benjamin Withers
We show that retarded Green's functions of black hole spacetimes can be expressed as a convergent mode sum everywhere in spacetime. At late times a quasinormal mode sum converges,…
One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation
Paolo Arnaudo, Giulio Bonelli, Alessandro Tanzini
We compute one-loop corrections to the euclidean gravitational path integral of near-extremal (anti-)de Sitter-Kerr black hole in terms of the connection coefficients of the Heun e…
QNM orthogonality relations for AdS black holes
Paolo Arnaudo, Javier Carballo, Benjamin Withers
We present orthogonality relations for quasinormal modes of a wide class of asymptotically AdS black holes. The definition is obtained from a standard product, modified by a CPT op…
On quivers, spectral networks and black holes
Paolo Arnaudo, Alba Grassi, Qianyu Hao
It was recently found that connection coefficients of the Heun equation can be derived in closed form using crossing symmetry in two-dimensional Liouville theory via the Nekrasov-S…
One-loop corrections to near extremal Kerr thermodynamics from semiclassical Virasoro blocks
Paolo Arnaudo, Giulio Bonelli, Alessandro Tanzini
We propose a method to perform an exact calculation of one-loop quantum corrections to black hole entropy in terms of Virasoro semiclassical blocks. We analyse in detail four-dimen…
Exact low-temperature Green's functions in AdS/CFT: From Heun to confluent Heun
Paolo Arnaudo, Benjamin Withers
We obtain exact expressions for correlation functions of charged scalar operators at finite density and low temperature in CFT dual to the RN-AdS black brane. We use recent…
Basics of Multiple Polyexponential Integrals
Gleb Aminov, Paolo Arnaudo
We introduce a set of special functions called multiple polyexponential integrals, defined as iterated integrals of the exponential integral . These functions arise i…
Black hole scattering amplitudes via analytic small-frequency expansion and monodromy
Gleb Aminov, Paolo Arnaudo
We utilize three complementary approaches to pinpoint the exact form of scattering amplitudes in Schwarzschild spacetime. First, we solve the Regge-Wheeler equation perturbatively…
One loop effective actions in Kerr-(A)dS Black Holes
Paolo Arnaudo, Giulio Bonelli, Alessandro Tanzini
We compute new exact analytic expressions for one-loop scalar effective actions in Kerr (A)dS black hole (BH) backgrounds in four and five dimensions. These are computed by the con…
Black hole perturbation theory and multiple polylogarithms
Gleb Aminov, Paolo Arnaudo, Giulio Bonelli +2
We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the correspondin…
On the convergence of Nekrasov functions
Paolo Arnaudo, Giulio Bonelli, Alessandro Tanzini
In this note we present some results on the convergence of Nekrasov partition functions as power series in the instanton counting parameter. We focus on gau…