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Related papers: Local bulk S-matrix elements and CFT singularities

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Maximally supersymmetric gauge theory in four dimensions admits local boundary conditions which preserve half of the bulk supersymmetries. The S-duality of the bulk gauge theory can be extended in a natural fashion to act on such half-BPS…

High Energy Physics - Theory · Physics 2016-11-09 Davide Gaiotto

We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermions with or without supersymmetry. The…

High Energy Physics - Theory · Physics 2020-04-28 Douglas Stanford , Edward Witten

In this paper, we present a local convergence analysis of the self-consistent field (SCF) iteration using the density matrix as the state of a fixed-point iteration. Sufficient and almost necessary conditions for local convergence are…

Numerical Analysis · Mathematics 2018-11-26 Parikshit Upadhyaya , Elias Jarlebring , Emanuel H. Rubensson

We investigate a two-dimensional statistical model of N charged particles interacting via logarithmic repulsion in the presence of an oppositely charged compact region K whose charge density is determined by its equilibrium potential at an…

Classical Analysis and ODEs · Mathematics 2012-07-04 Christopher D. Sinclair , Maxim L. Yattselev

We continue the studies of our earlier proposal for an AdS/CFT correspondence for time-dependent supergravity backgrounds. We note that by performing a suitable change of variables, the dual super Yang-Mills theory lives on a flat base…

High Energy Physics - Theory · Physics 2009-05-20 Chong-Sun Chu , Pei-Ming Ho

To O(1/N) we derive, purely from CFT data, the bulk equations of motion for interacting scalar fields and for scalars coupled to gauge fields and gravity. We first uplift CFT operators to mimic local AdS fields by imposing bulk…

High Energy Physics - Theory · Physics 2015-07-29 Daniel Kabat , Gilad Lifschytz

We calculate bulk and boundary correlators in JT gravity by summing over geometries. The answers are reproduced by computing suitable ensemble averages of correlators of chaotic quantum systems. We then consider bulk correlators at large…

High Energy Physics - Theory · Physics 2020-06-26 Andreas Blommaert

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

Causal set theory is an approach to quantum gravity in which spacetime is fundamentally discrete at the Planck scale and takes the form of a Lorentzian lattice, or "causal set", from which continuum spacetime emerges in a large-scale…

High Energy Physics - Theory · Physics 2024-05-15 Emma Albertini , Fay Dowker , Arad Nasiri , Stav Zalel

Mapping the $S$-matrix of a generic theory of flat space gravity coupled to matter to correlation functions of a putative Carrollian dual, we show that bulk interactions imply boundary non-locality.

High Energy Physics - Theory · Physics 2025-12-05 Jordan Cotler , Prateksh Dhivakar , Kristan Jensen

Resonance phenomena are central to many quantum systems, where resonant states are typically characterized by pole singularities of the S-matrix. In this work, we employ the complex scaling method (CSM) in conjunction with exact WKB…

Quantum Physics · Physics 2026-05-29 Okuto Morikawa , Shoya Ogawa

At the core of nonperturbative theories of quantum gravity lies the holographic encoding of bulk data in large matrices. At present this mapping is poorly understood. The plane wave matrix model provides a laboratory for isolating aspects…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso , Aleksey L. Mints

The issue of holographic principle in the PP-wave limit of the AdS/CFT correspondence is discussed, in the hope of clarifying some confusions in the literature. We show that, in the plane-wave limit, the relation between the partition…

High Energy Physics - Theory · Physics 2008-11-26 Tamiaki Yoneya

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

When does a holographic CFT with a boundary added to it (a BCFT) also have a `good' holographic dual with a localized gravitating end-of-the-world brane? We argue that the answer to this question is almost never. By studying Lorentzian BCFT…

High Energy Physics - Theory · Physics 2021-12-22 Wyatt Reeves , Moshe Rozali , Petar Simidzija , James Sully , Christopher Waddell , David Wakeham

In this paper, we study the holographic quantum error correcting code properties in different boundary fractal-like structures. We construct and explore different examples of the uberholographic bulk reconstruction corresponding to these…

High Energy Physics - Theory · Physics 2023-08-02 Dmitry S. Ageev

We study local correlations of certain interacting particle systems on the real line which show repulsion similar to eigenvalues of random Hermitian matrices. Although the new particle system does not seem to have a natural spectral or…

Probability · Mathematics 2014-10-28 Friedrich Götze , Martin Venker

The paper studies scaling limits of random skew plane partitions confined to a box when the inner shapes converge uniformly to a piecewise linear function V of arbitrary slopes in [-1,1]. It is shown that the correlation kernels in the bulk…

Mathematical Physics · Physics 2011-10-21 Sevak Mkrtchyan

We consider Lorentzian correlators of local operators. In perturbation theory, singularities occur when we can draw a position-space Landau diagram with null lines. In theories with gravity duals, we can also draw Landau diagrams in the…

High Energy Physics - Theory · Physics 2015-09-14 Juan Maldacena , David Simmons-Duffin , Alexander Zhiboedov

We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable…

High Energy Physics - Theory · Physics 2020-03-18 Valentino F. Foit , Daniel Kabat , Gilad Lifschytz