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These lecture notes aim to provide a pedagogical introduction to the AdS/CFT correspondence and its extensions to spacetimes with positive (de Sitter spacetime) and zero (flat spacetime) cosmological constant. We begin by explaining the…

High Energy Physics - Theory · Physics 2026-02-04 Gopal Yadav

The scalar, vector and tensor spherical harmonics on three-dimensional de Sitter spacetime are defined and analyzed. Each harmonic defines two sets of asymptotic data on the two sphere in the asymptotic expansion close to both the past and…

High Energy Physics - Theory · Physics 2026-04-21 Geoffrey Compère , Sébastien Robert

Field theories on anti-de Sitter (AdS) space can be studied by realizing them as low-energy limits of AdS vacua of string/M theory. In an appropriate limit, the field theories decouple from the rest of string/M theory. Since these vacua are…

High Energy Physics - Theory · Physics 2015-01-28 Ofer Aharony , Micha Berkooz , Soo-Jong Rey

Holographic Conformal Field Theories (CFTs) are usually studied in a limit where the gravity description is weakly coupled. By contrast, lattice quantum field theory can be used as a tool for doing computations in a wider class of…

High Energy Physics - Theory · Physics 2021-05-19 Richard C. Brower , Cameron V. Cogburn , A. Liam Fitzpatrick , Dean Howarth , Chung-I Tan

Tensor networks, $T\bar{T}$, and broader notions of a holographic principle all motivate the idea that some notion of gravitational holography should persist in the presence of a radial cutoff. But in the absence of time-reflection…

High Energy Physics - Theory · Physics 2021-02-03 Brianna Grado-White , Donald Marolf , Sean J. Weinberg

We consider the AdS/dS CFT correspondence and study the nature of the thermal bath of the de Sitter field theory using holography. Unlike the temperature of a thermal field theory in flat spacetime, the temperature of a superconformal field…

High Energy Physics - Theory · Physics 2017-08-09 Chong-Sun Chu , Dimitrios Giataganas

In Special Relativity, massless objects are characterized as either vacuum states or as radiation propagating at the speed of light. This distinction extends to General Relativity for asymptotically flat initial data sets (IDS) \((M^n, g,…

Differential Geometry · Mathematics 2025-10-17 Sven Hirsch , Hyun Chul Jang , Yiyue Zhang

We review boundary rigidity theorems assessing that, under appropriate conditions, Riemannian manifolds with the same spectrum of boundary geodesics are isometric. We show how to apply these theorems to the problem of reconstructing a $d+1$…

High Energy Physics - Theory · Physics 2009-11-10 M. Porrati , R. Rabadan

This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Virinchi Rallabhandi

Warped AdS$_3$ backgrounds provide set-ups to study holography beyond AdS and, in particular, holography for near-extremal Kerr black holes. A certain $U(1)$ charged warped BTZ background supported by pure NS-NS flux was constructed in…

High Energy Physics - Theory · Physics 2026-03-31 Silvia Georgescu

In three and two dimensions the asymptotic symmetry groups of $AdS$ spaces are infinite dimensional. This can be explained easily by noting the relations $AdS_3 \simeq SL(2)$ and $AdS_2 \simeq SL(2)/SO(2)$, i.e. that the asymptotic…

High Energy Physics - Theory · Physics 2012-12-11 Heikki Arponen

We construct back-reacted asymptotically AdS_4 backgrounds with both electric and magnetic charge, at finite temperature and chemical potential. The system consists of a condensed bulk Dirac field hovering over a charged black brane. We…

High Energy Physics - Theory · Physics 2015-01-29 Daniel Carney , Mohammad Edalati

A novel criterion to determine the presence of gravitational radiation arriving to, or departing from, null infinity of any weakly asymptotically-simple space-time with vanishing cosmological constant is given. The quantities involved are…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Francisco Fernández-Álvarez , José M. M. Senovilla

We define and study asymptotic Killing and conformal Killing vectors in $d$-dimensional Minkowski, (A)dS, $\mathbb{R}\times S^{d-1}$ and ${\rm AdS}_2\times S^{d-2}$. We construct the associated quantum charges for an arbitrary CFT and show…

High Energy Physics - Theory · Physics 2020-12-25 Laura Donnay , Gaston Giribet , Felipe Rosso

Freelance holography program is an extension of the gauge/gravity correspondence in which the boundary theory can reside on any timelike codimension-one surface in AdS space, and the boundary conditions on the bulk fields can be chosen…

High Energy Physics - Theory · Physics 2025-10-21 M. M. Sheikh-Jabbari , V. Taghiloo

This report reviews key developments in Carrollian physics with an emphasis on their role in the emerging framework of holography in asymptotically flat spacetimes. We begin by introducing the Carrollian limit, understood as the…

High Energy Physics - Theory · Physics 2026-02-04 Romain Ruzziconi

We consider a free complex massive scalar on the quotient spacetime AdS$_3/\mathbb{Z}$, which has the isometry group SO(2,2) rather than its universal cover. This problem is of interest as a special example of QFT on a spacetime with closed…

High Energy Physics - Theory · Physics 2025-10-20 Walker Melton , Andrew Strominger , Tianli Wang

The soft-wall AdS/QCD model, modified by a positive-sign dilaton metric, leads to a remarkable one-parameter description of nonperturbative hadron dynamics. The model predicts a zero-mass pion for zero-mass quarks and a Regge spectrum of…

High Energy Physics - Phenomenology · Physics 2011-03-02 Stanley J. Brodsky , Guy F. de Teramond

We describe the observed light-baryon spectrum by extending superconformal quantum mechanics to the light front and its embedding in AdS space. This procedure uniquely determines the confinement potential for arbitrary half-integer spin. To…

High Energy Physics - Phenomenology · Physics 2015-03-03 Guy F. de Teramond , Hans Gunter Dosch , Stanley J. Brodsky

The correspondence between theories in anti-de Sitter space and conformal field theories in physical space-time leads to an analytic, semiclassical model for strongly-coupled QCD which has scale invariance at short distances and color…

High Energy Physics - Phenomenology · Physics 2014-08-27 Stanley J. Brodsky , Guy de Teramond , Robert Shrock
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