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We propose a holographic dictionary which comes from reducing the bulk theories in an asymptotically flat spacetime to its null infinity. A general boundary theory is characterized by a fundamental field, an infinite tower of descendant…

High Energy Physics - Theory · Physics 2024-01-23 Wen-Bin Liu , Jiang Long

The Lorentzian AdS/CFT correspondence implies a map between local operators in supergravity and non-local operators in the CFT. By explicit computation we construct CFT operators which are dual to local bulk fields in the semiclassical…

High Energy Physics - Theory · Physics 2008-11-26 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum…

High Energy Physics - Theory · Physics 2020-04-22 Songyuan Li , Jan Troost

In the setting of non-interacting Klein-Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary are subalgebras of a boundary algebra. The underlying…

Mathematical Physics · Physics 2021-04-23 Wojciech Dybalski , Michał Wrochna

We study the holomorphic twist of 3d ${\cal N}=2$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral…

High Energy Physics - Theory · Physics 2020-05-04 Kevin Costello , Tudor Dimofte , Davide Gaiotto

The strong form of the AdS/CFT correspondence implies that the leading $N$ expressions for the connected correlation functions of the gauge invariant operators in the free ${\cal N}=4$ supersymmetric Yang-Mills theory with the gauge group…

High Energy Physics - Theory · Physics 2007-05-23 Andrei Mikhailov

Light-cone form of field dynamics in anti-de Sitter space-time is developed. Using field theoretic and group theoretic approaches the light-cone representation for generators of anti-de Sitter algebra acting as differential operators on…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Metsaev

We outline a program for interpreting the higher-spin dS/CFT model in terms of physics in the causal patch of a dS observer. The proposal is formulated in "elliptic" de Sitter space dS_4/Z_2, obtained by identifying antipodal points in…

High Energy Physics - Theory · Physics 2019-12-03 Illan F. Halpern , Yasha Neiman

We study the dS/CFT duality between minimal type-A higher-spin gravity and the free Sp(2N) vector model. We consider the bulk spacetime as "elliptic" de Sitter space dS_4/Z_2, in which antipodal points have been identified. We apply a…

High Energy Physics - Theory · Physics 2020-06-30 Yasha Neiman

We study the portion of an asymptotically Anti de Sitter geometry's bulk where the metric can be reconstructed, given the areas of minimal 2-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can…

High Energy Physics - Theory · Physics 2020-04-10 Ning Bao , Aidan Chatwin-Davies , Benjamin E. Niehoff , Mykhaylo Usatyuk

We give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or $L_{\infty}$ algebra. We extend this dictionary…

High Energy Physics - Theory · Physics 2023-09-08 Christoph Chiaffrino , Talha Ersoy , Olaf Hohm

We propose a way to identify the gauge invariant operator in noncommutative gauge theory on a D-brane with nonzero B field which couples to a specific supergravity mode in the bulk. This uses the description of noncommutative gauge theories…

High Energy Physics - Theory · Physics 2007-05-23 Sumit R. Das

We present a simple group representation analysis of massive, and particularly ``partially massless'', fields of arbitrary spin in de Sitter spaces of any dimension. The method uses bulk to boundary propagators to relate these fields to…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

We study holographic charge measurement for continuous internal symmetries. Charged boundary operators are characterized by Wilson lines of bulk gauge fields ending on the boundary, while charge measurement is performed using U-shaped…

High Energy Physics - Theory · Physics 2026-02-27 Ibrahima Bah , Federico Bonetti , Mufaro Chitoto , Enoch Leung

Operators that intertwine representations of a degenerate version of the double affine Hecke algebra are introduced. Each of the representations is related to multi-variable orthogonal polynomials associated with Calogero-Sutherland type…

q-alg · Mathematics 2009-10-30 Saburo Kakei

The bulk reconstruction program involves expressing local bulk fields as non-local operators on the boundary. It was initiated in the context of AdS/CFT correspondence. Attempts to extend it to de Sitter have been successful for…

High Energy Physics - Theory · Physics 2026-04-02 Arundhati Goldar , Nirmalya Kajuri

In this paper, we construct the wedge holography for the de-Sitter space as a bulk theory. First, we discuss a more general mathematical construction of wedge holography in parallel with wedge holography construction for the AdS bulk, and…

High Energy Physics - Theory · Physics 2024-07-01 Gopal Yadav

We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the K\"all\'en-Lehmann spectral decomposition for any spin and show that unitarity implies its spectral densities are…

High Energy Physics - Theory · Physics 2025-07-10 Manuel Loparco , Joao Penedones , Kamran Salehi Vaziri , Zimo Sun

We study a subsector of the AdS_4/CFT_3 correspondence where a class of solutions in the bulk and on the boundary can be explicitly compared. The bulk gravitational theory contains a conformally coupled scalar field with a Phi^4 potential,…

High Energy Physics - Theory · Physics 2010-02-03 Sebastian de Haro , Anastasios C. Petkou

We study a topological field theory in four dimensions on a manifold with boundary. A bulk-boundary interaction is introduced through a novel variational principle rather than explicitly. Through this scheme we find that the boundary values…

High Energy Physics - Theory · Physics 2010-01-06 Viqar Husain , Sebastian Jaimungal