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We propose an intrinsic CFT definition of local bulk operators in AdS3/CFT2 in terms of twisted Ishibashi boundary states. The bulk field Phi(X) creates a cross cap, a circular hole with opposite edge points identified, in the CFT…

High Energy Physics - Theory · Physics 2015-07-20 Herman Verlinde

The AdS/CFT correspondence relates deformations of the CFT by "multi-trace operators" to "non-local string theories". The deformed theories seem to have non-local interactions in the compact directions of space-time; in the gravity…

High Energy Physics - Theory · Physics 2009-11-11 Ofer Aharony , Micha Berkooz , Boaz Katz

We establish resolution bounds on reconstructing a bulk field from boundary data on a timelike hypersurface. If the bulk only supports propagating modes, reconstruction is complete. If the bulk also supports evanescent modes, local…

High Energy Physics - Theory · Physics 2015-06-19 Soo-Jong Rey , Vladimir Rosenhaus

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

There is substantial evidence that string theory on AdS_5 x S_5 is a holographic theory in which the number of degrees of freedom scales as the area of the boundary in Planck units. Precisely how the theory can describe bulk physics using…

High Energy Physics - Theory · Physics 2009-10-07 Leonard Susskind , Nicolaos Toumbas

A recently explored interesting quantity in AdS/CFT, dubbed 'residual entropy', characterizes the amount of collective ignorance associated with either boundary observers restricted to finite time duration, or bulk observers who lack access…

High Energy Physics - Theory · Physics 2015-06-22 Veronika E. Hubeny

We develop the representation of local bulk fields in AdS by non-local operators on the boundary, working in the semiclassical limit and using AdS_2 as our main example. In global coordinates we show that the boundary operator has support…

High Energy Physics - Theory · Physics 2016-09-06 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

The AdS/CFT conjecture relates quantum gravity on Anti-de Sitter (AdS) space to a conformal field theory (CFT) defined on the spacetime boundary. We interpret the CFT in terms of natural analogues of the bulk S-matrix. Our first approach…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Steven B. Giddings , Albion Lawrence

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

A concise formulation for mixed-symmetry gauge fields on AdS space is proposed. It is explicitly local, gauge invariant, and has manifest AdS symmetry. Various other known formulations (including the original formulation of Metsaev and the…

High Energy Physics - Theory · Physics 2010-06-22 K. B. Alkalaev , M. Grigoriev

We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem $A$…

High Energy Physics - Theory · Physics 2024-11-25 Michele Fossati , Colin Rylands , Pasquale Calabrese

We study a simple version of the AdS/CFT (anti-de Sitter spacetime/Conformal Field Theory) correspondence, where operators have integer conformal dimensions. In this model, bulk causality follows from boundary analyticity, even in…

High Energy Physics - Theory · Physics 2009-07-30 David A. Lowe

An important insight from the study of AdS/CFT is that bulk locality can be derived from crossing symmetry of the boundary CFT. In this paper, we take the first steps in extending this statement to de Sitter background by demonstrating how…

High Energy Physics - Theory · Physics 2025-08-22 Parijat Dey , Zhongjie Huang , Arthur Lipstein

This thesis aims to explore the structure of CFTs with global internal symmetries and beyond via the Large-Charge Expansion (LCE), a semi-classical expansion applicable for states with large global quantum numbers. In the first part of this…

High Energy Physics - Theory · Physics 2023-11-22 Rafael Moser

We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and anti-BRST equations. We emphasize the distinction between the antighosts of the…

High Energy Physics - Theory · Physics 2008-02-03 Laurent Baulieu

We describe probes of anti-de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states -- classical bulk field configurations are dual to expectation…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus , Albion Lawrence , Sandip Trivedi

In this work, we revisit the Transformer-based pre-trained language models and identify two different types of information confusion in position encoding and model representations, respectively. Firstly, we show that in the relative…

Computation and Language · Computer Science 2023-02-10 Haojie Zhang , Mingfei Liang , Ruobing Xie , Zhenlong Sun , Bo Zhang , Leyu Lin

In the context of the AdS/CFT correspondence, we study several holographic probes that relate information about the bulk spacetime to CFT data. The best-known example is the relation between minimal surfaces in the bulk and entanglement…

High Energy Physics - Theory · Physics 2015-04-27 Ben Freivogel , Robert Alan Jefferson , Laurens Kabir , Benjamin Mosk , I-Sheng Yang

We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual…

High Energy Physics - Theory · Physics 2015-11-10 Mir Faizal , Ahmed Farag Ali , Ali Nassar

The holographic principle, being a generic feature of quantum gravity, should allow for the consideration of dualities other than AdS/CFT. The AdS/BCFT correspondence, in which the dual field theory has local conformal symmetry and is…

High Energy Physics - Theory · Physics 2020-08-20 Sanjit Shashi