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We consider the holographic prescription problem in a (Lorentzian) AdS background, deriving from first principles the explicit formulas that relate the field at infinity with the field in the bulk. In contrast with the previous studies of…

Mathematical Physics · Physics 2015-06-04 Alberto Enciso , Niky Kamran

If holography is an equivalence between quantum theories, one might expect it to be described by a map that is a bijective isometry between bulk and boundary Hilbert spaces, preserving the hamiltonian and symmetries. Holography has been…

High Energy Physics - Theory · Physics 2020-12-02 Steven B. Giddings

Motivated by the holographic correspondence, we study the boundary imprint of bulk lightcones in spacetimes with boundaries. These lightcones can be observed whenever a localized event takes place in the bulk. The associated boundary…

High Energy Physics - Theory · Physics 2025-01-24 Simon Caron-Huot , Joydeep Chakravarty , Keivan Namjou

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 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 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

We consider states of holographic conformal field theories constructed by adding sources for local operators in the Euclidean path integral, with the aim of investigating the extent to which arbitrary bulk coherent states can be represented…

High Energy Physics - Theory · Physics 2018-08-01 Donald Marolf , Onkar Parrikar , Charles Rabideau , Ali Izadi Rad , Mark Van Raamsdonk

We consider the path-sum of Ponzano-Regge with additional boundary contributions in the context of the holographic principle of Quantum Gravity. We calculate an holographic projection in which the bulk partition function goes to a…

High Energy Physics - Theory · Physics 2014-11-18 G. Arcioni , M. Carfora , A. Marzuoli , M. O'Loughlin

We construct operators in holographic two-dimensional conformal field theory, which act locally in the code subspace as arbitrary bulk spacelike vector fields. Key to the construction is an interplay between parallel transport in the bulk…

High Energy Physics - Theory · Physics 2023-05-31 Bowen Chen , Bartlomiej Czech , Jan de Boer , Lampros Lamprou , Zi-zhi Wang

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

We suggest that the principle of holographic duality can be extended beyond conformal invariance and AdS isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on…

High Energy Physics - Theory · Physics 2015-06-23 A. O. Barvinsky

We prove that a spectral gap-filling phenomenon occurs whenever a Hamiltonian operator encounters a coarse index obstruction upon compression to a domain with boundary. Furthermore, the gap-filling spectra contribute to quantised current…

Mathematical Physics · Physics 2023-03-01 Matthias Ludewig , Guo Chuan Thiang

In this article we review recent progress on the holographic modelling of field theories with Lifshitz symmetry. We focus in particular on the holographic dictionary for Lifshitz backgrounds - the relationship between bulk fields and…

High Energy Physics - Theory · Physics 2016-01-18 Marika Taylor

Gravitational time delay in asymptotically Anti de Sitter spaces has consequences for holographic duality. We argue that the requirement of bulk causality implies that it is not possible for a collection of boundary observers, performing…

High Energy Physics - Theory · Physics 2009-11-07 Matthew Kleban , John McGreevy , Scott Thomas

We give a group-theoretic interpretation of relativistic holography as equivalence between representations of the anti de Sitter algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the…

High Energy Physics - Theory · Physics 2016-07-22 N. Aizawa , V. K. Dobrev

Double holography plays a crucial role in recent studies of Hawking radiation and information paradox by relating an intermediate picture, in which a dynamical gravity living on an end-of-the-world brane is coupled to a non-gravitational…

High Energy Physics - Theory · Physics 2022-08-10 Hidetoshi Omiya , Zixia Wei

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

Bulk boundary correspondence is crucial to topological insulator as it associates the boundary states (with zero energy, chiral or helical) to topological numbers defined in bulk. The application of this correspondence needs a prerequisite…

Mesoscale and Nanoscale Physics · Physics 2017-05-18 Ye Xiong

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy…

High Energy Physics - Theory · Physics 2015-06-22 Matthew Headrick , Veronika E. Hubeny , Albion Lawrence , Mukund Rangamani

We show that holography poses non-trivial restrictions on various couplings of an interacting field. For a vector boson in the AdS Reissner-Nordstrom background, the dual boundary theory is pathological unless its electromagnetic and…

High Energy Physics - Theory · Physics 2015-06-12 Manuela Kulaxizi , Rakibur Rahman
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