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The interplay between the diffeomorphism and conformal symmetries (a feature common in quantum field theories) is shown to be exhibited for the case of black holes in two dimensional classical Liouville theory. We show that although the…

高能物理 - 理论 · 物理学 2010-12-17 Rabin Banerjee , Sunandan Gangopadhyay , Shailesh Kulkarni

The origin of the rather mysterious duality symmetry found in quantum Liouville theory is investigated by considering the Liouville theory as the reduction of a WZW-like theory in which the form of the potential for the Cartan field is not…

高能物理 - 理论 · 物理学 2009-10-31 L. O'Raifeartaigh , V. V. Sreedhar

The duality between the Sine-Liouville conformal field theory and the two dimensional black hole is revisited by considering the two possible Sine-Liouville dressings together. We show that this choice is consistent with the structure of…

高能物理 - 理论 · 物理学 2010-02-03 Anindya Mukherjee , Sunil Mukhi , Ari Pakman

The dynamics of Liouville fields coupled to gravity are investigated by applying the principle of general covariance to the Liouville action in the context of a particular form of two-dimensional dilaton gravity. The resultant field…

高能物理 - 理论 · 物理学 2009-10-22 R. B. Mann

We present a novel derivation of the duality between the two-dimensional Euclidean black hole and supersymmetric Liouville theory. We realise these (1+1)-dimensional conformal field theories on the worldvolume of domain walls in a…

高能物理 - 理论 · 物理学 2009-11-10 David Tong

A precise link is derived between scalar-graviton S-matrix elements and expectation values of operators in a worldline quantum field theory (WQFT), both used to describe classical scattering of a pair of black holes. The link is formally…

高能物理 - 理论 · 物理学 2021-02-24 Gustav Mogull , Jan Plefka , Jan Steinhoff

We prove the equivalence of the SL(2,R)/U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N=2 Liouville theory. We show that this duality is an example of mirror symmetry. The essential part of the…

高能物理 - 理论 · 物理学 2010-02-03 Kentaro Hori , Anton Kapustin

We use the conformal bootstrap equations to study the non-perturbative gravitational scattering between infalling and outgoing particles in the vicinity of a black hole horizon in AdS. We focus on irrational 2D CFTs with large $c$ and only…

高能物理 - 理论 · 物理学 2015-12-09 Steven Jackson , Lauren McGough , Herman Verlinde

A quantization of (2+1)-dimensional gravity with negative cosmological constant is presented and quantum aspects of the (2+1)-dimensional black holes are studied thereby. The quantization consists of two procedures. One is related with…

高能物理 - 理论 · 物理学 2009-10-31 T. Nakatsu , H. Umetsu , N. Yokoi

We develop a functional integral approach to quantum Liouville field theory completely independent of the hamiltonian approach. To this end on the sphere topology we solve the Riemann-Hilbert problem for three singularities of finite…

高能物理 - 理论 · 物理学 2015-06-26 Pietro Menotti

Liouville transformations map in a rigorous manner one Schr\"odinger equation into another, with a changed scattering potential. They are used here to transform quantum reflection of an atom on an attractive well into reflection of the atom…

量子物理 · 物理学 2015-05-27 Gabriel Dufour , Romain Guérout , Astrid Lambrecht , Serge Reynaud

In this paper, we construct a scattering theory for classical massive Dirac fields near the "double" horizon of an extreme Kerr-de Sitter blackhole. Our main tool is the existence of a conjugate operator in the sense of Mourre theory.…

数学物理 · 物理学 2023-06-27 Jack Borthwick

We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized scattering matrices for…

高能物理 - 理论 · 物理学 2017-10-16 Vladimir A. Fateev

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which…

高能物理 - 理论 · 物理学 2007-05-23 George Siopsis

We describe the quantum mechanical scattering of slowly moving maximally charged black holes. Our technique is to develop a canonical quantization procedure on the parameter space of possible static classical solutions. With this, we…

高能物理 - 理论 · 物理学 2011-04-20 Jennie Traschen , Robert Ferrel

We prove that the cigar conformal field theory is dual to the Sine-Liouville model, as conjectured originally by Fateev, Zamolodchikov and Zamolodchikov. Since both models possess the same chiral algebra, our task is to show that…

高能物理 - 理论 · 物理学 2014-11-18 Yasuaki Hikida , Volker Schomerus

Considering two dimensional gravity coupled to a CFT, we show that a semiclassical black hole can be described in terms of two Liouville theories matched at the horizon. The black hole exterior corresponds to a space-like while the interior…

高能物理 - 理论 · 物理学 2015-06-16 Cristiano Germani

We describe the application of the quantum mechanical bootstrap to the solution of one-dimensional scattering problems. By fixing a boundary and modulating the Robin parameter of the boundary conditions we are able to extract the reflection…

高能物理 - 理论 · 物理学 2023-07-24 David Berenstein , George Hulsey

Particle scattering and radiation by a magnetically charged, dilatonic black hole is investigated near the extremal limit at which the mass is a constant times the charge. Near this limit a neighborhood of the horizon of the black hole is…

高能物理 - 理论 · 物理学 2009-09-17 S. B. Giddings , A. Strominger

In the last decade, the first law of binary black hole mechanics played an important unifying role in the gravitational two-body problem. More recently, binary black hole scattering and the application of high-energy physics methods have…

广义相对论与量子宇宙学 · 物理学 2025-09-30 Riccardo Gonzo , Jack Lewis , Adam Pound
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