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Related papers: Geodesic bulk diagrams on the Bruhat-Tits tree

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We explore the conjectured duality between the critical O(N) vector model and minimal bosonic massless higher spin (HS) theory in AdS. In the boundary free theory, the conformal partial wave expansion (CPWE) of the four-point function of…

High Energy Physics - Theory · Physics 2009-11-11 Danilo E. Diaz , Harald Dorn

We explore conformally coupled scalar theory in AdS$_{6}$ extensively and their classical solutions by employing power expansion order by order in its self-interaction coupling $\lambda$. We study holographic correlation functions of scalar…

High Energy Physics - Theory · Physics 2020-12-30 Jae-Hyuk Oh

According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we…

High Energy Physics - Theory · Physics 2008-11-26 Thomas Hartman , Leonardo Rastelli

In the perturbative AdS-CFT correspondence, the dual field whose source are the prescribed boundary values of a bulk field in the functional integral, and the boundary limit of the quantized bulk field are the same thing. This statement is…

High Energy Physics - Theory · Physics 2008-11-26 M. Duetsch , K. -H. Rehren

We consider an effective theory of massive scalar fields on a fixed AdS$_{d+1}$ background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual…

High Energy Physics - Theory · Physics 2025-01-10 Alejandra Castro , Pedro J. Martinez

We present in detail the basic ingredients contained in bi-local holography, representing a constructive scheme for reconstructing AdS bulk theories in Vectorial/AdS duality. Explicit Mapping to bulk AdS and higher spin fields is seen to be…

High Energy Physics - Theory · Physics 2019-05-01 Robert de Mello Koch , Antal Jevicki , Kenta Suzuki , Junggi Yoon

Locality of bulk operators in AdS imposes stringent constraints on their description in terms of the boundary CFT. These constraints are encoded as sum rules on the bulk-to-boundary expansion coefficients. In this paper, we construct…

High Energy Physics - Theory · Physics 2025-01-17 Nat Levine , Miguel F. Paulos

We revisit the four-point function of super gluons in $AdS_5 \times S^3$ in the spirit of the large $p$ formalism and show how the integrand of a generalised Mellin transform satisfies various non-trivial properties such as $U(1)$…

High Energy Physics - Theory · Physics 2023-04-19 J. M. Drummond , R. Glew , M. Santagata

We introduce a large class of conformally-covariant differential operators and a crossing equation that they obey. Together, these tools dramatically simplify calculations involving operators with spin in conformal field theories. As an…

High Energy Physics - Theory · Physics 2025-08-18 Denis Karateev , Petr Kravchuk , David Simmons-Duffin

A consistent QM/NCG duality is put forward as a model for the AdS^2/CFT_1 correspondence. This is a duality/correspondence between 1) the dAFF conformal quantum mechanics (QM) on the boundary (which is only "quasi-conformal" in the sense…

High Energy Physics - Theory · Physics 2022-06-22 Badis Ydri

We propose a bootstrap program for CFTs near intersecting boundaries which form a co-dimension 2 edge. We describe the kinematical setup and show that bulk 1-pt functions and bulk-edge 2-pt functions depend on a non-trivial cross-ratio and…

High Energy Physics - Theory · Physics 2021-10-27 António Antunes

We reveal a low-temperature duality between the hyperbolic lattice model featuring fractons and infinite decoupled copies of Zabrodin's $p$-adic model of AdS/CFT. The core of the duality is the subsystem symmetries of the hyperbolic fracton…

High Energy Physics - Theory · Physics 2023-06-14 Han Yan , Christian B. Jepsen , Yaron Oz

From the AdS/CFT dictionary, we derive a bulk dual of the work distribution defined by the two-point measurement on the boundary, yielding a bulk formulation of the Tasaki-Crooks fluctuation theorem. We argue that this not only provides a…

High Energy Physics - Theory · Physics 2025-11-14 Daichi Takeda

We study the superconformal index for the class of N=2 4d superconformal field theories recently introduced by Gaiotto. These theories are defined by compactifying the (2,0) 6d theory on a Riemann surface with punctures. We interpret the…

High Energy Physics - Theory · Physics 2010-03-19 Abhijit Gadde , Elli Pomoni , Leonardo Rastelli , Shlomo S. Razamat

We compute correlation functions, specifically 1-point and 2-point functions, in holographic boundary conformal field theory (BCFT) using geodesic approximation. The holographic model consists of a massive scalar field coupled to a…

High Energy Physics - Theory · Physics 2022-02-23 Jani Kastikainen , Sanjit Shashi

In this work we reason that there is a universal picture for several different holographic toy model constructions, and a gravity-like bulk field theory that gives rise it. First, we observe that the perfect tensor-networks and hyperbolic…

Strongly Correlated Electrons · Physics 2020-11-04 Han Yan

Recent work has proposed a method for imposing T-duality on the metric, $B$-field, and dilaton of the classical effective action of string theory without using Kaluza-Klein reduction. Specifically, the $D$-dimensional effective action…

High Energy Physics - Theory · Physics 2023-10-17 Mohammad R. Garousi

Using the AdS/CFT correspondence, we compute the tree-level four-point boundary scalar correlation function for a scalar field conformally coupled to the graviton field on Euclidean AdS4. We assume that the dynamics of the graviton field is…

High Energy Physics - Theory · Physics 2025-01-08 Carmelo P. Martin

We describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fisher critical points nearby generalized free CFTs, exploiting the analytic structure of conformal blocks as functions of the conformal…

High Energy Physics - Theory · Physics 2017-05-24 Ferdinando Gliozzi , Andrea L. Guerrieri , Anastasios C. Petkou , Congkao Wen

We discuss the enumeration of planar graphs using bijections with suitably decorated trees, which allow for keeping track of the geodesic distances between faces of the graph. The corresponding generating functions obey non-linear recursion…

Combinatorics · Mathematics 2007-05-23 P. Di Francesco