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We present a non-perturbative holographic dual description for the \(O(N)\) vector model in \(d\)-dimensional Euclidean space within the functional renormalization group (FRG) framework. By continuously iterating Wilsonian RG…

High Energy Physics - Theory · Physics 2026-05-19 Ki-Seok Kim

Dynamics in AdS spacetimes is characterized by various time-periodicities. The most obvious of these is the time-periodic evolution of linearized fields, whose normal frequencies form integer-spaced ladders as a direct consequence of the…

High Energy Physics - Theory · Physics 2021-09-21 Ben Craps , Marine De Clerck , Oleg Evnin

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black…

High Energy Physics - Theory · Physics 2020-10-28 Laura Donnay , Gaston Giribet , Julio Oliva

This paper studies the geodesics connecting two time-like separated boundary points in asymptotically anti-de Sitter (AdS) spacetime. We find that in spherically symmetry Schwarzschild AdS black hole, smooth space-like geodesics can connect…

High Energy Physics - Theory · Physics 2024-12-31 Jia-Hao He , Run-Qiu Yang

We construct an anti-de-Sitter (AdS) geometry from a conformal field theory (CFT) defined on a general conformally flat manifold via a flow equation associated with the curved manifold, which we refer to as the primary flow equation. We…

High Energy Physics - Theory · Physics 2018-08-01 Sinya Aoki , Shuichi Yokoyama

We apply the $AdS/CFT$ holography to the simplest possible eternal time machine solution in $AdS_3$ based on two conical defects moving around their center of mass along a circular orbit. Closed timelike curves in this space-time extend all…

High Energy Physics - Theory · Physics 2016-09-07 Irina Arefeva , Andrey Bagrov , Petter Saterskog , Koenraad Schalm

We analyse the global structure of time-dependent geometries dual to expanding plasmas, considering two examples: the boost invariant Bjorken flow, and the conformal soliton flow. While the geometry dual to the Bjorken flow is constructed…

High Energy Physics - Theory · Physics 2010-01-15 Pau Figueras , Veronika E. Hubeny , Mukund Rangamani , Simon F. Ross

We construct two associative algebras from a vertex operator algebra $V$ and a general automorphism $g$ of $V$. The first, called $g$-twisted zero-mode algebra, is a subquotient of what we call $g$-twisted universal enveloping algebra of…

Quantum Algebra · Mathematics 2016-04-29 Yi-Zhi Huang , Jinwei Yang

We consider supersymmetric holographic flows that involve background gauge fields dual to chemical potentials in the boundary field theory. We use a consistent truncation of gauged N=8 supergravity in five dimensions and we give a complete…

High Energy Physics - Theory · Physics 2011-03-21 Nikolay Bobev , Arnab Kundu , Krzysztof Pilch , Nicholas P. Warner

We investigate whether arbitrarily small perturbations in global AdS space are generically unstable and collapse into black holes on the time scale set by gravitational interactions. We argue that current evidence, combined with our…

High Energy Physics - Theory · Physics 2016-12-20 Fotios V. Dimitrakopoulos , Ben Freivogel , Matthew Lippert , I-Sheng Yang

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Theory · Physics 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

We investigate aspects of holographic duals to time-like warped AdS_3 space-times--which include G\"odel's universe--in string theory. Using worldsheet techniques similar to those that have been applied to AdS_3 backgrounds, we are able to…

High Energy Physics - Theory · Physics 2011-01-17 Stéphane Detournay , Dan Israel , Joshua M. Lapan , Mauricio Romo

We derive non-linear commutator HS symmetry algebra, which encode unitary irreducible representations of AdS group subject to Young tableaux $Y(s_1,...,s_k)$ with $k\geq 2$ rows on $d$-dimensional anti-de-Sitter space. Auxiliary…

High Energy Physics - Theory · Physics 2012-04-02 Cestmir Burdik , Alexander Reshetnyak

It has been shown in recent works that JT gravity with matter with two boundaries has a type II$_\infty$ algebra on each side. As the bulk spacetime between the two boundaries fluctuates in quantum nature, we can only define the…

High Energy Physics - Theory · Physics 2024-03-06 Ping Gao

We consider a four-dimensional globally hyperbolic spacetime $(M,g)$ conformal to Minkowski spacetime, together with a massless, conformally coupled scalar field. Using a bulk-to-boundary correspondence, one can establish the existence of…

Mathematical Physics · Physics 2025-05-27 Claudio Dappiaggi , Vincenzo Morinelli , Gerardo Morsella , Alessio Ranallo

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

Gubser flow is an evolution with cylindrical and boost symmetries, which can be best studied by mapping the future wedge of Minkowski space (R$^{3,1}$) to dS$_3$ $\times$ $\mathbb{R}$ in a conformal relativistic theory. Here, we sharpen our…

High Energy Physics - Theory · Physics 2024-11-01 Toshali Mitra , Sukrut Mondkar , Ayan Mukhopadhyay , Alexander Soloviev

Twisted period integrals are ubiquitous in theoretical physics and mathematics, where they inhabit a finite-dimensional vector space governed by an inner product known as the intersection number. In this work, we uncover the associated…

High Energy Physics - Theory · Physics 2025-08-25 Giacomo Brunello , Vsevolod Chestnov , Pierpaolo Mastrolia

In this second part of a two-part paper, we discuss numerical simulations of a head-on merger of two non-spinning black holes. We resolve the fate of the original two apparent horizons by showing that after intersecting, their world tubes…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Daniel Pook-Kolb , Ivan Booth , Robie A. Hennigar