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Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We…

High Energy Physics - Theory · Physics 2020-12-02 Andrea L Guerrieri , Alexandre Homrich , Pedro Vieira

It is shown that, if the energy in the Schwarzian mechanics (SM) is equal to the coupling constant in the de Alfaro-Fubini-Furlan (DAFF) model, there exists a link between these two systems. In particular, the equation of motion,…

High Energy Physics - Theory · Physics 2020-04-15 Sergei Filyukov , Ivan Masterov

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Vasilisa Nikiforova

In this paper, we consider a massless field, with spin j, in interaction with a Schwarzschild black hole in four dimensions, focusing mainly our study on the s-wave scattering. First, using a Fourier analysis, we show that one can have a…

General Relativity and Quantum Cosmology · Physics 2013-02-07 Bernard Raffaelli

We study the partition function of 3D de Sitter gravity defined as the trace over the Hilbert space obtained by quantizing the phase space of non-rotating Schwarzschild-de Sitter spacetime. Motivated by the correspondence with double scaled…

High Energy Physics - Theory · Physics 2024-02-02 Herman Verlinde

We investigate the wave optics in the Schwarzschild spacetime. Applying the standard formalism of wave scattering problems, the Green function represented by the sum over the partial waves is evaluated using the Poisson sum formula. The…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Yasusada Nambu , Sousuke Noda

Generalizing previous quantum gravity results for Schwarzschild black holes from 4 to D > 3 space-time dimensions yields an energy spectrum E_n = alpha n^{(D-3)/(D-2)} E_P, n=1,2,..., alpha = O(1), where E_P is the Planck energy in that…

General Relativity and Quantum Cosmology · Physics 2017-09-27 H. A. Kastrup

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We study a two-dimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with a single rotational parameter in five dimensions (with or without cosmological constant). We focus on the…

High Energy Physics - Theory · Physics 2021-12-08 Alejandra Castro , Juan F. Pedraza , Chiara Toldo , Evita Verheijden

We evaluate the partition function of the free O(N) model on a two-parameter family of squashed three spheres. We also find new solutions of general relativity with negative cosmological constant and the same double squashed boundary…

High Energy Physics - Theory · Physics 2016-12-21 Nikolay Bobev , Thomas Hertog , Yannick Vreys

D0-brane gas picture of Schwarzschild black hole (SBH) is considered in the large N regime of Matrix theory. An entropy formula, which reproduces the thermodynamics of SBH in the large N limit for all dimensions ($D\geq 6$), is proposed.…

High Energy Physics - Theory · Physics 2009-10-31 Yi-hong Gao , Wei Zhang

We initiate a program to generalize the standard eikonal approximation to compute amplitudes in Anti-de Sitter spacetimes. Inspired by the shock wave derivation of the eikonal amplitude in flat space, we study the two-point function E ~ <…

High Energy Physics - Theory · Physics 2010-10-27 Lorenzo Cornalba , Miguel S. Costa , Joao Penedones , Ricardo Schiappa

We study the linear stability of static and spherically symmetric (SSS) black holes (BHs) in the presence of a Weyl-squared curvature besides an Einstein-Hilbert term in the action. In this theory, there is always an exact Schwarzschild BH…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Antonio De Felice , Shinji Tsujikawa

We extend the notion of chord number in the strict large $N$ double-scaled Sachdev-Ye-Kitaev (DSSYK) model to the corresponding finite $N$ ETH matrix model. The chord number in the strict large $N$ DSSYK model is known to correspond to the…

High Energy Physics - Theory · Physics 2025-09-30 Masamichi Miyaji , Soichiro Mori , Kazumi Okuyama

Quantum sinh-Gordon model in 1+1 dimensions is one of the simplest and best-studied massive integrable relativistic quantum field theories. We consider this theory on a multi-sheeted Riemann surfaces with a flat metric, which can be seen as…

High Energy Physics - Theory · Physics 2026-02-17 Michael Lashkevich , Amir Nesturov

We introduce the analytic superspace formalism for six-dimensional $(N,0)$ superconformal field theories. Concentrating on the $(2,0)$ theory we write down the Ward identities for correlation functions in the theory and show how to solve…

High Energy Physics - Theory · Physics 2010-02-03 P. J. Heslop

Supersymmetric, magnetically charged (and possibly accelerating) black holes in AdS$_4$ that uplift on Sasaki-Einstein manifolds $Y_7$ to M-theory have a dual matrix model description. The matrix model in turn arises by localization of the…

High Energy Physics - Theory · Physics 2024-01-17 Andrea Boido , Alice Lüscher , James Sparks

We study the description of Schwarzschild black holes, of entropy S, within matrix theory in the regime $N \ge S \gg 1$. We obtain the most general matrix theory equation of state by requiring that black holes admit a description within…

High Energy Physics - Theory · Physics 2009-10-31 S. Kalyana Rama

The Sachdev-Ye-Kitaev (SYK) model describes a strange metal that shows peculiar non-Fermi liquid properties without quasiparticles. It exhibits a maximally chaotic behavior characterized by out-of-time-ordered correlators (OTOCs), and is…

Strongly Correlated Electrons · Physics 2019-06-25 Naoto Tsuji , Philipp Werner

The duality of Jackiw-Teitelboim (JT) gravity and a double scaled matrix integral has led to studies of the canonical spectral form factor (SFF) in the so called $\tau-$scaled limit of large times, $t \to \infty$, and fixed temperature in…

High Energy Physics - Theory · Physics 2025-02-27 Torsten Weber , Jarod Tall , Fabian Haneder , Juan Diego Urbina , Klaus Richter