A holographic reduction of Minkowski space-time

By J. Boer, S. Solodukhin. 2003

312 citations recorded by the source corpus.

Abstract Minkowski space can be sliced, outside the light-cone, in terms of Euclidean anti-de Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we apply holography to each slice separately. This yields a dual description living on two spheres, which can be interpreted as the boundary of the light-cone. The infinite number of slices gives rise to a continuum family of operators on the two spheres for each separate bulk field. For a free field we explain how the Green's function and (trivial) S-matrix in Minkowski space can be reconstructed in terms of two-point functions of some putative conformal field theory on the two spheres. Based on this we propose a Minkowski/CFT correspondence which can also be applied to interacting fields. We comment on the interpretation of the conformal symmetry of the CFT, and on generalizations to curved space.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1b8fb1ae68f9c21460f461fed5932bd8ccdb92f1

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Citations in the corpus

Conformally soft theorem in gauge theory (2019, background): “Celestial amplitudes are of interest for many reasons, including a holographic representation of quantum gravity in flat space [1, 2, 4, 17–23].”
Conformal basis for flat space amplitudes (2017, background): “The same conclusion was reached from studying the AdS holography on each hyperbolic slice of Minkowski space [3, 4].”
Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere (2016, unknown): “Although we are far from constructing any example of such, the authors of [2] speculate on a boundary 2D CFT (of some exotic variety) on CS(2) a subset of whose correlation functions are the 4D bulk Minkowski scattering amplitudes.”
Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions (2006, background): “-j ‡Senior Research Associate of the National Fund for Scientific Research (Belgium) §Research Fellow of the National Fund for Scientific Research (Belgium).”
Gluon Amplitudes as 2d Conformal Correlators (2017, methodology): “In [10] (see also [25,28] for the scalar case) the inner product between four-dimensional oneparticle states of spin one was computed in the space of conformal primary wavefunctions.”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, methodology): “Aspects of superrotation symmetry were implicit in early work of Penrose [218], but were first conjectured in their modern form in the prescient work of de Boer and Solodukhin [52], who were trying to understand holography in Minkowski space.”
Lessons from the information paradox (2020, background): “ question of how asymptotic symmetries constrain asymptotic correlators and other physical quantities [95{101] on which there is signicant literature starting with the work of de Boer and Solodukhin [102]. 4.3.1 Subtleties We again turn to some subtleties that are implicit in the argument above. Q10”
Superrotation charge and supertranslation hair on black holes (2016, background): “Early discussions of superrotation symmetry can be found in [114, 118, 119], and more recent ones in [7, 23, 24, 81, 82, 97, 98, 120].”
4D scattering amplitudes and asymptotic symmetries from 2D CFT (2016, methodology): “(49) can be expressed as a Mellin transform of plane waves [17],”
2D Kac-Moody symmetry of 4D Yang-Mills theory (2015, background): “A salient feature (1)The results of [5,9,14,36,37] suggest that for quantum gravity scattering amplitudes the SL(2,C) Lorentz symmetry (1.”
Superboost transitions, refraction memory and super-Lorentz charge algebra (2018, background): “First, two distinct extensions of the original BMS group have been proposed as asymptotic symmetry groups of Einstein gravity at null infinity: (i) The Barnich-Troessaert group pVirˆVirq ̇ S [17, 20,21] (see also [19]); (ii) The Campiglia-Laddha group DiffpS2q ̇ S [18, 22].”
The Holographic Nature of Null Infinity (2020, background): “where gravity does not get turned o sharply at any point. There has been considerable work on understanding holography in asymptotically at spacetimes starting with the work of de Boer and Solodukhin [8,9,10,11,12,13,14]. But this paper is complementary to much of this literature since our focus is ”