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We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a…

高能物理 - 理论 · 物理学 2009-10-31 Adel M. Awad , Clifford V. Johnson

The AdS/CFT correspondence is a powerful tool to study the properties of conformal QCD at strong coupling in terms of a higher dimensional dual gravity theory. The power-law falloff of scattering amplitudes in the non-perturbative regime…

高能物理 - 唯象学 · 物理学 2017-08-23 Guy F. de Teramond , Stanley J. Brodsky

We study the transition of a scalar field in a fixed $AdS_{d+1}$ background between an extremum and a minimum of a potential. We first prove that two conditions must be met for the solution to exist. First, the potential involved cannot be…

高能物理 - 理论 · 物理学 2013-10-11 Borut Bajc , Adrian R. Lugo

Initial conditions given on a spacelike, static slice of a non-globally hyperbolic spacetime may not define the fates of classical and quantum fields uniquely. Such lack of global hyperbolicity is a well-known property of the anti-de Sitter…

广义相对论与量子宇宙学 · 物理学 2020-04-15 Vitor S. Barroso , J. P. M. Pitelli

We consider a scalar field theory on AdS in both minimally and non-minimally coupled cases. We show that there exist constraints which arise in the quantization of the scalar field theory on AdS which cannot be reproduced through the usual…

高能物理 - 理论 · 物理学 2010-02-03 Pablo Minces , Victor O. Rivelles

In the current study, authors present the comprehensive analysis of the Anti-de Sitter/Boundary Conformal Field Theory (AdS/BCFT) correspondence for Lovelock theory of second order in the presence of canonical (and real) scalar field…

高能物理 - 理论 · 物理学 2022-06-10 Oleksii Sokoliuk , Fabiano F. Santos , Alexander Baransky

In this thesis, the AdS/CFT correspondence is used as a tool to explore novel AdS$_5$ Supergravity backgrounds (containing five-dimensional Anti-de Sitter spacetime) and their dual (four dimensional) Conformal Field Theory descriptions. In…

高能物理 - 理论 · 物理学 2025-10-15 Paul Merrikin

We define an abstract setting to treat wave equations equipped with time-dependent acoustic boundary conditions on bounded domains of ${\bf R}^n$. We prove a well-posedness result and develop a spectral theory which also allows to prove a…

偏微分方程分析 · 数学 2018-12-21 Delio Mugnolo

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar…

高能物理 - 理论 · 物理学 2024-04-29 Machiko Fukada , Akihiro Miyata

We search for a possible bosonic (i.e. non-supersymmetric) string/gauge theory correspondence by using IIB and 0B strings as a guide. Our construction is based on the low-energy bosonic string effective action modified by an extra form…

高能物理 - 理论 · 物理学 2007-05-23 Sergei V. Ketov , Thorsten Leonhardt , Werner Rühl

We consider a version of the $AdS_{d+1}/CFT_{d}$ correspondence, in which the bulk space is taken to be the quotient manifold $AdS_{d+1} /\Gamma$ with a fairly generic discrete group $\Gamma$ acting isometrically on $AdS_{d+1}$. We address…

高能物理 - 理论 · 物理学 2009-10-31 Yi-hong Gao

We elaborate a detailed study of certain aspects of (a version of) the AdS/CFT correspondence, conjectured by Maldacena and Witten, between quantum field theories in a gravitational background given by an asymptotically anti-de Sitter…

数学物理 · 物理学 2008-06-26 Pedro Lauridsen Ribeiro

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

高能物理 - 理论 · 物理学 2010-04-06 Per Kraus , Finn Larsen

The AdS/CFT correspondence may offer new and useful insights into the non- perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics. Soft-wall AdS/QCD models have reproduced the linear trajectories of meson…

高能物理 - 唯象学 · 物理学 2015-06-17 Sean P. Bartz , Joseph I. Kapusta

In this paper we discuss geodesic Witten diagrams in generic holographic conformal field theories with boundary or defect. Boundary CFTs allow two different decompositions of two-point functions into conformal blocks: boundary channel and…

高能物理 - 理论 · 物理学 2017-10-25 Andreas Karch , Yoshiki Sato

We study deformations of the model by Henneaux, Mart\'inez, Troncoso and Zanelli [arXiv:hep-th/0201170] which features asymptotically AdS$_3$ black hole solutions that incorporate the exact backreaction of a scalar field. The presence of…

高能物理 - 理论 · 物理学 2025-12-25 Nele Callebaut , Blanca Hergueta , Ruben Monten , Matteo Selle

We present a general and systematic treatment of multi-trace deformations in the AdS/CFT correspondence in the large N limit, pointing out and clarifying subtleties relating to the formulation of the boundary value problem on a conformal…

高能物理 - 理论 · 物理学 2010-10-27 Ioannis Papadimitriou

We initiate a study of the boundary version of the square-lattice $Q$-state Potts antiferromagnet, with $Q \in [0,4]$ real, motivated by the fact that the continuum limit of the corresponding bulk model is a non-compact CFT, closely related…

统计力学 · 物理学 2020-03-31 Niall F. Robertson , Jesper Lykke Jacobsen , Hubert Saleur

We consider a geometric zero-radius limit for strings on $AdS_5\times S^5$, where the anti-de Sitter hyperboloid becomes the projective lightcone. In this limit the fifth dimension becomes nondynamical, yielding a different "holographic"…

高能物理 - 理论 · 物理学 2009-10-31 Horatiu Nastase , Warren Siegel

We consider the quantisation of scalar fields on a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow falloff mode to fluctuate. We show that the scalar field with alternative boundary…

高能物理 - 理论 · 物理学 2015-06-12 Tomas Andrade , Simon F. Ross