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The AdS/CFT correspondence is applied to a close analogue of the little hierarchy problem in $AdS_{d+1}$, $d \geq 3$. The new mechanism requires a Maxwell field that gauges a $U(1)_R$ symmetry in a bulk supergravity theory with a negative…

High Energy Physics - Theory · Physics 2015-10-08 Xi Dong , Daniel Z. Freedman , Yue Zhao

In this review article, we discuss the distinction and possible equivalence between scale invariance and conformal invariance in relativistic quantum field theories. Under some technical assumptions, we can prove that scale invariant…

High Energy Physics - Theory · Physics 2014-03-03 Yu Nakayama

This is the first in a series of articles about recovering the full algebraic structure of a boundary conformal field theory (CFT) from the scaling limit of the critical Ising model in slit-strip geometry. Here, we introduce spaces of…

Mathematical Physics · Physics 2021-11-22 Taha Ameen , Kalle Kytölä , S. C. Park , David Radnell

This paper, presents the gravity duals of Conformal Field Theories with boundaries. This theory is known as AdS/BCFT correspondence. In this duality, our system has 3D gravity coupling with the Maxwell field dual to 2D BCFT. On the gravity…

High Energy Physics - Theory · Physics 2022-06-22 Fabiano F. Santos

We study the holographic dual of the two dimensional non-relativistic conformal field theory with anisotropic scaling from a symmetry perspective. We construct a new four dimensional metric with two dimensional global anisotropic scaling…

High Energy Physics - Theory · Physics 2023-08-15 H. Lü , Pujian Mao , Jun-Bao Wu

We analyse the distributional thin wall limit of self gravitating scalar field configurations representing thick domain wall geometries. We show that thick wall solutions can be generated by appropiate scaling of the thin wall ones, and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Rommel Guerrero , Alejandra Melfo , Nelson Pantoja

We discuss the AdS/CFT correspondence for negative curvature Einstein manifolds whose conformal boundary is degenerate in the sense that it is of codimension greater than one. In such manifolds, hypersurfaces of constant radius do not blow…

High Energy Physics - Theory · Physics 2007-05-23 Marika Taylor-Robinson

We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti-de Sitter space with a strongly coupled large $N$ conformal field theory living on the wall. The AdS/CFT correspondence allows a fully quantum mechanical…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , T. Hertog , H. S. Reall

We study a conformally coupled scalar-tensor theory with a quartic potential possessing local conformal symmetry up to a boundary term. We show that requiring the restoration of the full local conformal symmetry fixes the counterterms that…

High Energy Physics - Theory · Physics 2023-05-25 Giorgos Anastasiou , Ignacio J. Araya , Mairym Busnego-Barrientos , Cristobal Corral , Nelson Merino

Celestial CFT$_d$ is the putative dual of quantum gravity in asymptotically flat $(d+2)$ dimensional space time. We argue that a class of Celestial CFT$_d$ can be engineered via AdS$_{d+1}$-CFT$_d$ correspondence. Our argument is based on…

High Energy Physics - Theory · Physics 2025-06-19 Shamik Banerjee , Nishant Gupta , Sagnik Misra

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and…

High Energy Physics - Theory · Physics 2012-09-11 M. R. Setare , V. Kamali

Using the AdS/CFT correspondence, we study the Schwinger effect in strongly coupled theories with an anisotropic scaling symmetry in time and spatial direction. We consider Lifshitz and hyperscaling violation theories and use their gravity…

High Energy Physics - Theory · Physics 2015-04-21 Kazem Bitaghsir Fadafan , Fateme Saiedi

In this work, we derive an upper bound on energetic quantities, namely vacuum energy and free energy, for static solutions of Einstein-Scalar theory in four dimensional asymptotically locally Anti-de Sitter(AlAdS) spacetime with a…

High Energy Physics - Theory · Physics 2020-02-28 Krai Cheamsawat

We analyze the backreaction of a class of scalar field self-interactions with the possibility of evolving from an AdS vacuum to a fixed point where the scalar field potential vanishes. Exact solutions which interpolate between these…

High Energy Physics - Theory · Physics 2024-01-17 Andrés Anabalón , Hernán A. González , Aníbal Neira-Gallegos , Julio Oliva

We revisit the gauge symmetry related to integrable projective transformations in metric-affine formalism, identifying the gauge field of the Weyl (conformal) symmetry as a dynamical component of the affine connection. In particular, we…

High Energy Physics - Theory · Physics 2022-10-26 Gonzalo J. Olmo , Emanuele Orazi , Gianfranco Pradisi

We discuss dynamical response functions near quantum critical points, allowing for both a finite temperature and detuning by a relevant operator. When the quantum critical point is described by a conformal field theory (CFT), conformal…

High Energy Physics - Theory · Physics 2017-08-03 Andrew Lucas , Todd Sierens , William Witczak-Krempa

A nonminimal coupling single scalar field theory, when transformed from Jordan frame to Einstein frame, can act like a minimal coupling one. Making use of this property, we investigate how a nonminimal coupling theory with scale-invariant…

High Energy Physics - Phenomenology · Physics 2015-06-04 Taotao Qiu

In this work we study rescaled effective single scalar field theories, and we confront these with the ACT constraint on the spectral index of the scalar primordial perturbations and the updated BICEP/Planck constraint on the…

General Relativity and Quantum Cosmology · Physics 2026-01-13 V. K. Oikonomou , Eleni I. Manouri , Georgios Konstantellos

We study the renormalization group flow equations for correlation functions of weakly coupled quantum field theories in AdS. Taking the limit where the external points approach the conformal boundary, we obtain a flow of conformally…

High Energy Physics - Theory · Physics 2022-09-27 Markus B. Fröb

We present a new formulation for the canonical approach to conformal (Weyl-squared) gravity and its extension by the Einstein-Hilbert term and a nonminimally coupled scalar field. For this purpose we use a unimodular decomposition of the…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Claus Kiefer , Branislav Nikolic