Eliot Hijano

artykuł

Flat space physics from AdS/CFT

Eliot Hijano

Journal of High Energy Physics > 2019 > 2019 > 7 > 1-37

Abstract We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with asymptotically flat boundary conditions. The formula is valid for both massive and massless external particles, and reduces to existing expressions in...

artykuł

Semi-classical BMS₃ blocks and flat holography

Eliot Hijano

Journal of High Energy Physics > 2018 > 2018 > 10 > 1-44

Abstract We present the construction of BMS₃ blocks in a two-dimensional field theory and compare the results with holographic computations involving probe particles propagating in flat space cosmologies. On the field theory side, we generalize the monodromy method used in the context of AdS/CFT to theories with BMS symmetry. On the bulk side, we consider geodesic Feynman diagrams, recently introduced...

artykuł

The holographic entropy zoo

Alex May, Eliot Hijano

Journal of High Energy Physics > 2018 > 2018 > 10 > 1-33

Abstract We study the holographic dual of a two parameter family of quantities known as the α-z divergences. Many familiar information theoretic quantities occur within this family, including the relative entropy, fidelity, and collision relative entropy. We find explicit bulk expressions for the boundary divergences to second order in a state perturbation whenever α is an integer and z ≥ 0, as well...

artykuł

Holographic entanglement and Poincaré blocks in three-dimensional flat space

Eliot Hijano, Charles Rabideau

Journal of High Energy Physics > 2018 > 2018 > 5 > 1-43

Abstract We propose a covariant prescription to compute holographic entanglement entropy and Poincaré blocks (Global BMS blocks) in the context of three-dimensional Einstein gravity in flat space. We first present a prescription based on worldline methods in the probe limit, inspired by recent analog calculations in AdS/CFT. Building on this construction, we propose a full extrapolate dictionary...

artykuł

Nonlinear gravity from entanglement in conformal field theories

Thomas Faulkner, Felix M. Haehl, Eliot Hijano, Onkar Parrikar, więcej

Journal of High Energy Physics > 2017 > 2017 > 8 > 1-48

Abstract In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited states defined by adding sources for scalar primary or stress tensor operators to the Euclidean path integral defining the vacuum state. For these states, we show that up to second order in the sources, the entanglement...

artykuł

Holographic conformal blocks from interacting Wilson lines

Mert Besken, Ashwin Hegde, Eliot Hijano, Per Kraus

Journal of High Energy Physics > 2016 > 2016 > 8 > 1-35

Abstract We present a simple prescription for computing conformal blocks and correlation functions holographically in AdS₃ in terms of Wilson lines merging at a bulk vertex. This is shown to reproduce global conformal blocks and heavy-light Virasoro blocks. In the case of higher spin theories the space of vertices is in one-to-one correspondence with the space of W N $$ {\mathcal{W}}_N...

artykuł

Witten diagrams revisited: the AdS geometry of conformal blocks

Eliot Hijano, Per Kraus, Eric Perlmutter, River Snively

Journal of High Energy Physics > 2016 > 2016 > 1 > 1-51

Abstract We develop a new method for decomposing Witten diagrams into conformal blocks. The steps involved are elementary, requiring no explicit integration, and operate directly in position space. Central to this construction is an appealingly simple answer to the question: what object in AdS computes a conformal block? The answer is a “geodesic Witten diagram”, which is essentially an ordinary...

artykuł

Semiclassical Virasoro blocks from AdS₃ gravity

Eliot Hijano, Per Kraus, Eric Perlmutter, River Snively

Journal of High Energy Physics > 2015 > 2015 > 12 > 1-31

Abstract We present a unified framework for the holographic computation of Virasoro conformal blocks at large central charge. In particular, we provide bulk constructions that correctly reproduce all semiclassical Virasoro blocks that are known explicitly from conformal field theory computations. The results revolve around the use of geodesic Witten diagrams, recently introduced in [1], evaluated...

artykuł

Higher spin entanglement and W N $$ {\mathcal{W}}_{\mathrm{N}} $$ conformal blocks

Jan Boer, Alejandra Castro, Eliot Hijano, Juan I. Jottar, więcej

Journal of High Energy Physics > 2015 > 2015 > 7 > 1-49

Abstract Two-dimensional conformal field theories with extended W $$ \mathcal{W} $$ -symmetry algebras have dual descriptions in terms of weakly coupled higher spin gravity in AdS₃ at large central charge. Observables that can be computed and compared in the two descriptions include Rényi and entanglement entropies, and correlation functions of local operators. We develop techniques for...

artykuł

Worldline approach to semi-classical conformal blocks

Eliot Hijano, Per Kraus, River Snively

Journal of High Energy Physics > 2015 > 2015 > 7 > 1-22

Abstract We extend recent results on semi-classical conformal blocks in 2d CFT and their relation to 3D gravity via the AdS/CFT correspondence. We consider four-point functions with two heavy and two light external operators, along with the exchange of a light operator. By explicit computation, we establish precise agreement between these CFT objects and a simple picture of particle worldlines joined...

artykuł

Lifshitz black holes in higher spin gravity

Michael Gutperle, Eliot Hijano, Joshua Samani

Journal of High Energy Physics > 2014 > 2014 > 4 > 1-29

Abstract We study asymptotically Lifshitz solutions to three dimensional higher spin gravity in the SL(3, $\mathbb{R}$ ) × SL(3, $\mathbb{R}$ ) Chern-Simons formulation. We begin by specifying the most general connections satisfying Lifshitz boundary conditions, and we verify that their algebra of symmetries contains a Lifshitz sub-algebra. We then exhibit connections that can be viewed as...

artykuł

A new spin on entanglement entropy

Eliot Hijano, Per Kraus

Journal of High Energy Physics > 2014 > 2014 > 12 > 1-37

Abstract We argue that the usual notions of thermodynamic and entanglement entropy have novel analogs in the context of higher spin theories. In particular, the Wald and RyuTakayanagi formulas have natural higher spin extensions that we work out and study. On the CFT side, just as standard entanglement entropy in CFT₂ can be computed from twist field correlators, we demonstrate that by introducing...

artykuł

Matching four-point functions in higher spin AdS₃/CFT₂

Eliot Hijano, Per Kraus, Eric Perlmutter

Journal of High Energy Physics > 2013 > 2013 > 5 > 1-39

Abstract Working in the context of the proposed duality between 3D higher spin gravity and 2D W _N minimal model CFTs, we compute a class of four-point functions in the bulk and on the boundary, and demonstrate precise agreement between them. This is the first computation of a correlator in 3D higher spin gravity whose functional form is not fixed by conformal invariance. In the bulk we make use...

artykuł

Unitarity bounds in AdS₃ higher spin gravity

Alejandra Castro, Eliot Hijano, Arnaud Lepage-Jutier

Journal of High Energy Physics > 2012 > 2012 > 6 > 1-21

Abstract We study SL(N, $\mathbb{R}$ ) Chern-Simons gauge theories in three dimensions. The choice of the embedding of SL(2, $\mathbb{R}$ ) in SL(N, $\mathbb{R}$ ), together with asymptotic boundary conditions, defines a theory of higher spin gravity. Each inequivalent embedding leads to a different asymptotic symmetry group, which we map to an OPE structure at the boundary. A simple...

artykuł

Black holes and singularity resolution in higher spin gravity

Alejandra Castro, Eliot Hijano, Arnaud Lepage-Jutier, Alexander Maloney

Journal of High Energy Physics > 2012 > 2012 > 1 > 1-24

Abstract We investigate higher spin theories of gravity in three dimensions based on the gauge group SL(N, $\mathbb{R}$ ) × SL(N, $\mathbb{R}$ ). In these theories the usual diffeomorphism symmetry is enhanced to include higher spin gauge transformations under which traditional geometric notions of curvature and causality are no longer invariant. This implies, for example, that apparently...

INFONA - portal komunikacji naukowej

Wyniki wyszukiwania dla: Eliot Hijano

Flat space physics from AdS/CFT

Semi-classical BMS₃ blocks and flat holography

The holographic entropy zoo

Holographic entanglement and Poincaré blocks in three-dimensional flat space

Nonlinear gravity from entanglement in conformal field theories

Holographic conformal blocks from interacting Wilson lines

Witten diagrams revisited: the AdS geometry of conformal blocks

Semiclassical Virasoro blocks from AdS₃ gravity

Higher spin entanglement and W N $$ {\mathcal{W}}_{\mathrm{N}} $$ conformal blocks

Worldline approach to semi-classical conformal blocks

Lifshitz black holes in higher spin gravity

A new spin on entanglement entropy

Matching four-point functions in higher spin AdS₃/CFT₂

Unitarity bounds in AdS₃ higher spin gravity

Black holes and singularity resolution in higher spin gravity

INFONA - portal komunikacji naukowej

Wyniki wyszukiwania dla: Eliot Hijano

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