scholarly journals The Newman-Penrose map and the classical double copy

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Gilly Elor ◽  
Kara Farnsworth ◽  
Michael L. Graesser ◽  
Gabriel Herczeg
Keyword(s):  
Exact Solutions ◽  
Gauge Theories ◽  
Flat Space ◽  
Classical Setting ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Space Vacuum ◽  
Double Copy ◽  
Systematic Framework ◽  
Made In

Abstract Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories — a correspondence dubbed the double copy. Recently, double copies have also been realized in a classical setting, as maps between exact solutions of gauge theories and gravity. We present here a novel map between a certain class of real, exact solutions of Einstein’s equations and self-dual solutions of the flat-space vacuum Maxwell equations. This map, which we call the Newman-Penrose map, is well-defined even for non-vacuum, non-stationary spacetimes, providing a systematic framework for exploring gravity solutions in the context of the double copy that have not been previously studied in this setting. To illustrate this, we present here the Newman- Penrose map for the Schwarzschild and Kerr black holes, and Kinnersley’s photon rocket.

scholarly journals Testing the holographic principle using lattice simulations

2018 ◽  
Vol 175 ◽  
pp. 08004 ◽  
Author(s):  
Raghav G. Jha ◽  
Simon Catterall ◽  
David Schaich ◽  
Toby Wiseman
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Strong Coupling ◽  
Type Ii ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Made In

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory–Laflamme) between them.

scholarly journals HOLOGRAPHIC FLAVOR IN THEORIES WITH EIGHT SUPERCHARGES

2007 ◽  
Vol 22 (26) ◽  
pp. 4717-4796 ◽  
Author(s):  
DIEGO RODRÍGUEZ-GÓMEZ
Keyword(s):  
Gauge Theory ◽  
Phase Structure ◽  
Gauge Theories ◽  
Meson Spectrum ◽  
Yang Mills ◽  
Holographic Duals ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Gravity Duals

We review the holographic duals of gauge theories with eight supercharges obtained by adding very few flavors to pure supersymmetric Yang–Mills with 16 supercharges. Assuming a brane-probe limit, the gravity duals are engineered in terms of probe branes (the so-called flavor brane) in the background of the color branes. Both types of branes intersect on a given subspace in which the matter is confined. The gauge theory dual is thus the corresponding flavoring of the gauge theory with 16 supercharges. Those theories have in general a nontrivial phase structure; which is also captured in a beautiful way by the gravity dual. Along the lines of the gauge/gravity duality, we review also some of the results on the meson spectrum in the different phases of the theories.

scholarly journals Early thermalization, hydrodynamics and energy loss in AdS/CFT

2015 ◽  
Vol 24 (10) ◽  
pp. 1530011 ◽  
Author(s):  
Paul M. Chesler ◽  
Wilke van der Schee
Keyword(s):  
Energy Loss ◽  
Strong Coupling ◽  
Gauge Theories ◽  
Heavy Ion ◽  
Strongly Coupled ◽  
Equilibrium Dynamics ◽  
Ion Collisions ◽  
Far From Equilibrium ◽  
Gauge Gravity ◽  
Gravity Duality

Gauge/gravity duality has provided unprecedented opportunities to study dynamics in certain strongly coupled gauge theories. This review aims to highlight several applications to heavy ion collisions including far-from-equilibrium dynamics, hydrodynamics and jet energy loss at strong coupling.

scholarly journals Gauge/gravity duality and RG flows in 5d gauge theories

2014 ◽  
Vol 884 ◽  
pp. 612-631 ◽  
Author(s):  
Alessandro Pini ◽  
Diego Rodríguez-Gómez
Keyword(s):  
Gauge Theories ◽  
Gauge Gravity ◽  
Gravity Duality

scholarly journals Review of lattice supersymmetry and gauge-gravity duality

2015 ◽  
Vol 30 (27) ◽  
pp. 1530054 ◽  
Author(s):  
Anosh Joseph
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Strongly Coupled ◽  
The Status ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Insight Into

We review the status of recent investigations on validating the gauge-gravity duality conjecture through numerical simulations of strongly coupled maximally supersymmetric thermal gauge theories. In the simplest setting, the gauge-gravity duality connects systems of D0-branes and black hole geometries at finite temperature to maximally supersymmetric gauged quantum mechanics at the same temperature. Recent simulations show that nonperturbative gauge theory results give excellent agreement with the quantum gravity predictions, thus proving strong evidence for the validity of the duality conjecture and more insight into quantum black holes and gravity.

scholarly journals In-Medium Effects in the Holographic Quark-Gluon Plasma

2010 ◽  
Vol 2010 ◽  
pp. 1-141 ◽  
Author(s):  
Felix Rust
Keyword(s):  
Quark Gluon Plasma ◽  
Finite Temperature ◽  
Gauge Theories ◽  
Particle Density ◽  
Gluon Plasma ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Fundamental Matter ◽  
Gauge Gravity ◽  
Gravity Duality

We use the gauge/gravity duality to investigate various properties of strongly coupled gauge theories, which we interpret as models for the quark-gluon plasma (QGP). In particular, we use variants of the D3/D7 setup as an implementation of the top-down approach of connecting string theory with phenomenologically relevant gauge theories. We focus on the effects of finite temperature and finite density on fundamental matter in the holographic quark-gluon plasma, which we model as theN=2hypermultiplet in addition to theN=4gauge multiplet of supersymmetric Yang-Mills theory. We use a setup in which we can describe the holographic plasma at finite temperature and either baryon or isospin density and investigate the properties of the system from three different viewpoints. (i) We study meson spectra. Our observations at finite temperature and particle density are in qualitative agreement with phenomenological models and experimental observations. They agree with previous publications in the according limits. (ii) We study the temperature and density dependence of transport properties of fundamental matter in the QGP. In particular, we obtain diffusion coefficients. Furthermore, in a kinetic model we estimate the effects of the coupling strength on meson diffusion and therewith equilibration processes in the QGP. (iii) We observe the effects of finite temperature and density on the phase structure of fundamental matter in the holographic QGP. We trace out the phase transition lines of different phases in the phase diagram.

scholarly journals Extracting Einstein from the loop-level double-copy

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
John Joseph M. Carrasco ◽  
Ingrid A. Vazquez-Holm
Keyword(s):  
Classical Limit ◽  
Gauge Theories ◽  
Gravitational Theory ◽  
Tree Level ◽  
The Novel ◽  
Massive Scalar ◽  
Massive Black Hole ◽  
Loop Level ◽  
Double Copy ◽  
Systematic Framework

Abstract The naive double-copy of (multi) loop amplitudes involving massive matter coupled to gauge theories will generically produce amplitudes in a gravitational theory that contains additional contributions from propagating antisymmetric tensor and dilaton states even at tree-level. We present a graph-based approach that combines the method of maximal cuts with double-copy construction to offer a systematic framework to isolate the pure Einstein-Hilbert gravitational contributions through loop level. Indeed this allows for a bootstrap of pure-gravitational results from the double-copy of massive scalar-QCD. We apply this to construct the novel result of the D-dimensional one-loop five-point QFT integrand relevant in the classical limit to generating observables associated with the radiative effects of massive black-hole scattering via pure Einstein-Hilbert gravity.

scholarly journals ENTROPIC FORCE AND ITS FLUCTUATION IN EUCLIDEAN QUANTUM GRAVITY

2011 ◽  
Vol 26 (09) ◽  
pp. 1639-1650 ◽  
Author(s):  
YUE ZHAO
Keyword(s):  
Black Hole ◽  
Gravitational Force ◽  
Thermal Fluctuation ◽  
Flat Space ◽  
Thermodynamic Quantities ◽  
Entropic Force ◽  
Holographic Screen ◽  
Thermodynamic Variables ◽  
Gauge Gravity ◽  
Gravity Duality

In this paper, we study the idea about gravity as entropic force proposed by Verlinde. By interpreting Euclidean gravity in the language of thermodynamic quantities on holographic screen, we find the gravitational force can be calculated from the change of entropy on the screen. We show that normal gravity calculation can be reinterpreted in the language of thermodynamic variables. We also study the fluctuation of the force and find the fluctuation acting on the point-like particle can never be larger than the expectation value of the force. For a black hole in AdS space, by gauge/gravity duality, the fluctuation may be interpreted as arising from thermal fluctuation in the boundary description. And for a black hole in flat space, the ratio between fluctuation and force goes to a constant [Formula: see text] at infinity.

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