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The AdS/CFT correspondence has significantly impacted the study of strongly coupled systems, providing insights into various condensed matter phenomena through its holographic duality. This paper introduces an alternative approach to the…

High Energy Physics - Theory · Physics 2024-04-05 Markus A. G. Amano , Minoru Eto

Massless fields of generic Young symmetry type in $AdS_d$ space are analyzed. It is demonstrated that in contrast to massless fields in Minkowski space whose physical degrees of freedom transform in irreps of $o(d-2)$ algebra, $AdS$…

High Energy Physics - Theory · Physics 2011-08-01 L. Brink , R. R. Metsaev , M. A. Vasiliev

The motion of a scalar particle in (d+1)-dimensional AdS space may be described in terms of the Cartesian coordinates that span the (d+2)-dimensional space in which the AdS space is embedded. Upon quantization, the mass hyperboloid defined…

High Energy Physics - Theory · Physics 2009-11-07 George Siopsis

We construct a tessellation of AdS$_3$, by extending the equilateral triangulation of AdS$_2$ on the Poincar\'{e} disk based on the $(2,3,7)$ triangle group, suitable for studying strongly coupled phenomena and the AdS/CFT correspondence. A…

High Energy Physics - Theory · Physics 2022-06-15 Richard C. Brower , Cameron V. Cogburn , Evan Owen

Recently Polchinski and Strassler reproduced the high energy QCD scaling at fixed angles from a gauge string duality inspired in AdS/CFT correspondence. In their approach a confining gauge theory is taken as approximately dual to an AdS…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We develop a formalism to calculate the effective action of the strongly coupled conformal field theory (CFT) in curved spacetime. The effective action of the CFT is obtained from AdS/CFT correspondence. The anti de-Sitter (AdS) spacetime…

High Energy Physics - Theory · Physics 2010-02-03 Kazuya Koyama , Jiro Soda

We study the simplest geometrical particle model associated with null paths in four-dimensional Minkowski space-time. The action is given by the pseudo-arclength of the particle worldline. We show that the reduced classical phase space of…

High Energy Physics - Theory · Physics 2009-10-31 Armen Nersessian , Eduardo Ramos

In recent applications of AdS/CFT to condensed matter physics, a metric that transforms covariantly under dilatation has been argued to signal hyperscaling violation in a dual quantum field theory. We contextualize and introduce large, in…

High Energy Physics - Theory · Physics 2015-06-05 Eric Perlmutter

The Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) is one of the most significant findings in theoretical physics and forms the basis of this thesis. Although highly powerful, the main limitation of AdS/CFT is that AdS does…

High Energy Physics - Theory · Physics 2025-12-30 Mattia Arundine

Lifshitz and hyperscaling violating geometries, which provide a holographic description of non-relativistic field theories, generically have a singularity in the infrared region of the geometry, where tidal forces for freely falling…

High Energy Physics - Theory · Physics 2015-06-17 Yang Lei , Simon F. Ross

The isometries of $AdS_5$ space and supersymmetric $AdS_5\otimes S_1$ space are nonlinearly realized on four dimensional Minkowski space. The resultant effective actions in terms of the Nambu-Goldstone modes are constructed. The dilatonic…

High Energy Physics - Theory · Physics 2008-11-26 T. E. Clark , S. T. Love

We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall

The scattering equations relate massless scattering kinematics to marked points on a Riemann sphere, and underpin remarkable formulae for the full tree-level S-matrices of many interesting QFTs, including cubic biadjoint scalars, Yang-Mills…

High Energy Physics - Theory · Physics 2026-01-13 Tim Adamo , Iustin Surubaru , Bin Zhu

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

In this letter we suggest a natural spinor-helicity formalism for massless fields in AdS${}_4$. It is based on the standard realization of the AdS${}_4$ isometry algebra $so(3,2)$ in terms of differential operators acting on…

High Energy Physics - Theory · Physics 2019-03-27 Balakrishnan Nagaraj , Dmitry Ponomarev

It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map…

High Energy Physics - Theory · Physics 2024-03-12 Avijit Das , Shivrat Sachdeva , Debajyoti Sarkar

We use Weyl transformations between the Minkowski spacetime and dS/AdS spacetime to show that one cannot well define the electrodynamics globally on the ordinary conformal compactification of the Minkowski spacetime (or dS/AdS spacetime),…

High Energy Physics - Theory · Physics 2014-10-21 Zhao Yong Sun , Yu Tian

Two sets of modes of a massive free scalar field are quantized in a pair of Poincar\'e patches of Lorentzian anti-de Sitter (AdS) space, AdS$_{d+1}$ ($d \geq 2$). It is shown that in Poincar\'e coordinates $(r,t,\vec{x})$, the two…

High Energy Physics - Theory · Physics 2015-06-19 Ippei Fujisawa , Ryuichi Nakayama

We examine a stationary but non-static asymptotically AdS_3 spacetime with two causally connected conformal boundaries, each of which is a ``null cylinder'', namely a cylinder with a null direction identified. This spacetime arises from…

High Energy Physics - Theory · Physics 2009-11-10 Vijay Balasubramanian , Asad Naqvi , Joan Simon

We derive the propagators for higher-spin master fields in anti-de Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space,…

High Energy Physics - Theory · Physics 2015-06-05 V. E. Didenko , E. D. Skvortsov