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One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which…

High Energy Physics - Theory · Physics 2017-07-05 Matthew Heydeman , Matilde Marcolli , Ingmar Saberi , Bogdan Stoica

The stress tensor is a basic local operator in any field theory; in the context of AdS/CFT, it is the operator which is dual to the bulk geometry itself. Here we exploit this feature by using the bulk geometry to place constraints on the…

High Energy Physics - Theory · Physics 2016-12-14 Sebastian Fischetti , Andrew Hickling , Toby Wiseman

We generalize the $T\overline{T}$ deformation of CFT$_2$ to higher-dimensional large-$N$ CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We…

High Energy Physics - Theory · Physics 2019-05-29 Thomas Hartman , Jorrit Kruthoff , Edgar Shaghoulian , Amirhossein Tajdini

We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic…

High Energy Physics - Theory · Physics 2021-06-30 Luis F. Alday , Murat Kologlu , Alexander Zhiboedov

In previous work we constructed an explicit mapping between large $N$ vector models (free or critical) in $d$ dimensions and a non-local high-spin gravity theory on $AdS_{d+1}$, such that the gravitational theory reproduces the field theory…

High Energy Physics - Theory · Physics 2023-03-22 Ofer Aharony , Shai M. Chester , Tal Sheaffer , Erez Y. Urbach

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

High Energy Physics - Theory · Physics 2025-03-06 Samuel Bilson

We holographically calculate two-point functions in the pseudo-conformal universe, an early universe alternative to inflation. The pseudo-conformal universe can be modeled as a defect conformal field theory, where the reheating surface is a…

High Energy Physics - Theory · Physics 2021-01-04 Mariana Carrillo-Gonzalez , Kurt Hinterbichler , James Stokes , Mark Trodden

One of the key issues in holography is going beyond $\mathrm{AdS}$ and defining quantum gravity in spacetimes with a null boundary. Recent examples of this type involve linear dilaton asymptotics and are related to the $T \overline{T}$…

High Energy Physics - Theory · Physics 2025-07-01 Christian Ferko , Savdeep Sethi

With a view to understanding extended-BMS symmetries in the framework of the $AdS_4/CFT_3$ correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters.…

High Energy Physics - Theory · Physics 2021-02-03 David A. Lowe , David M. Ramirez

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

We consider holographic duals of $2$-dimensional conformal field theories in the presence of a boundary, interface, defect and/or junction, referred to collectively as BCFTs. In general, the presence of a boundary reduces the $SO(2,2)$…

High Energy Physics - Theory · Physics 2015-06-18 John Estes

In this paper, we introduce the Freelance Holography Program, an extension of the AdS/CFT correspondence within the saddle-point approximation that opens several novel directions. This framework generalizes holography beyond the asymptotic…

High Energy Physics - Theory · Physics 2025-09-26 Vahid Taghiloo

The mapping between bulk supergravity fields in anti-de Sitter space and operators in the dual boundary conformal field theory usually relies heavily on the available global symmetries. In the present work, we study a generalization of this…

High Energy Physics - Theory · Physics 2009-01-01 David A Lowe , Shubho Roy

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

We examine the correspondence between QFT observables and bulk solutions in the context of AdS/CFT in the limit as the cosmological constant $\Lambda \to 0$. We focus specifically on the spacetime metric and a non-backreacting scalar in the…

High Energy Physics - Theory · Physics 2014-11-26 R. N. Caldeira Costa

In this paper, we compute the exact form of the bulk geometry emerging from a $(1+1)$-dimensional conformal field theory using the holographic principle. We first consider the $(2+1)$-dimensional asymptotic $AdS$ metric in Poincare…

High Energy Physics - Theory · Physics 2020-02-03 Ashis Saha , Sourav Karar , Sunandan Gangopadhyay

In this paper we extend the HKLL holographic smearing function method to reconstruct (quasi)local AdS bulk scalar observables in the background of a large AdS black hole formed by null shell collapse (a "pure state" black hole), from the…

High Energy Physics - Theory · Physics 2015-12-16 Shubho R. Roy , Debajyoti Sarkar

Holographic quantum field theories that confine in flat space, are considered on a fixed AdS space. The space of holographic solutions for such theories is constructed and three types of regular solutions are found. Theories with two AdS…

High Energy Physics - Theory · Physics 2024-09-05 Ahmad Ghodsi , Elias Kiritsis , Francesco Nitti

In addition to describing our universe, gravitational theories profoundly inspire the study of emergent properties of exotic phases of matter. While the Anti-de Sitter/conformal field theory (AdS/CFT) correspondence is one of the most…

Strongly Correlated Electrons · Physics 2024-11-11 Alejo Costa Duran , Mauricio Sturla , Ludovic D. C. Jaubert , Han Yan

We present an exactly solvable model of a scalar field in an AdS$_{d+1}$ like background interpolating between a $Z_2$ preserving and a $Z_2$ breaking minima of the potential. We define its holographic dual through the AdS/CFT dictionary…

High Energy Physics - Theory · Physics 2015-06-04 Borut Bajc , Adrian R. Lugo , Mauricio B. Sturla