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We consider a scalar field theory in AdS_{d+1}, and introduce a formalism on surfaces at equal values of the radial coordinate. In particular, we define the corresponding conjugate momentum. We compute the Noether currents for isometries in…

高能物理 - 理论 · 物理学 2011-08-02 Pablo Minces

Quantum field theory on two- and three-dimensional fuzzy anti-de Sitter spaces is introduced and studied. We find a complete set of solutions to the fuzzy Klein-Gordon equation and identify the commutative limit in which they reduce to…

高能物理 - 理论 · 物理学 2025-08-15 Bojana Brkić , Ilija Burić , Maja Burić , Dušan Đorđević , Duško Latas

We initiate the study of Dyson equations of perturbative QFT in AdS and their consequences for large-N CFT. We show that the dressed one-particle AdS propagator features wavefunction renormalization and operator mixing, giving rise to…

高能物理 - 理论 · 物理学 2023-09-06 Sylvain Fichet

The open string dual to a 1/6 BPS Wilson line in the ${\cal N} = 6$ super Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that the resulting boundary term imposes mixed boundary conditions on the fields that…

高能物理 - 理论 · 物理学 2024-02-22 Diego H. Correa , Maximiliano G. Ferro , Victor I. Giraldo-Rivera

We construct stationary non-equilibrium black funnels locally asymptotic to global AdS4 in vacuum Einstein-Hilbert gravity with negative cosmological constant. These are non-compactly-generated black holes in which a single connected bulk…

高能物理 - 理论 · 物理学 2013-03-07 Sebastian Fischetti , Donald Marolf , Jorge E. Santos

Using holographic renormalization coupled with the Caffarelli/Silvestre\cite{caffarelli} extension theorem, we calculate the precise form of the boundary operator dual to a bulk scalar field rather than just its average value. We show that…

高能物理 - 理论 · 物理学 2017-04-24 Gabriele La Nave , Philip Phillips

We propose a duality between the 2d W_N minimal models in the large N 't Hooft limit, and a family of higher spin theories on AdS_3. The 2d CFTs can be described as WZW coset models, and include, for N=2, the usual Virasoro unitary series.…

高能物理 - 理论 · 物理学 2012-05-09 Matthias R Gaberdiel , Rajesh Gopakumar

We determine all the correlators of the H3+ model on a disc with AdS2-brane boundary conditions in terms of correlators of Liouville theory on a disc with FZZT-brane boundary conditions. We argue that the Cardy-Lewellen constraints are…

高能物理 - 理论 · 物理学 2010-10-27 Kazuo Hosomichi , Sylvain Ribault

We investigate the holographic description of CFTs defined on the cylinder and on AdS, which include an operator saturating the unitarity bound. The standard Klein-Gordon field with the corresponding mass and boundary conditions on global…

高能物理 - 理论 · 物理学 2012-06-15 Thorsten Ohl , Christoph F. Uhlemann

It is known that certain AdS boundary conditions allow smooth initial data to evolve into a big crunch. To study this type of cosmological singularity, one can use the dual quantum field theory, where the non-standard boundary conditions…

高能物理 - 理论 · 物理学 2010-03-29 Alice Bernamonti , Ben Craps

The connected wedge theorem states that in order to have a scattering process in the bulk, it is necessary to have $O(1/G_N)$ mutual information between certain "decision" regions in the boundary theory. While this large mutual information…

高能物理 - 理论 · 物理学 2026-01-15 Jacqueline Caminiti , Caroline Lima , Robert C. Myers

A new method to compute correlation functions in AdS$_{d+1}$ in general dimension is introduced, considering a particle quantised in the worldline formalism of quantum field theory, coupled to bulk fields, in particular gravity, quantised…

高能物理 - 理论 · 物理学 2017-12-05 Henry Maxfield

The multiple-Dirichlet-to-Neumann (multiple-DtN) non-reflecting boundary condition is adapted to acoustic scattering from obstacles embedded in the half-plane. The multiple-DtN map is coupled with the method of images as an alternative…

计算物理 · 物理学 2014-01-03 Sebastian Acosta , Vianey Villamizar , Bruce Malone

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…

高能物理 - 理论 · 物理学 2026-01-13 Tim Adamo , Iustin Surubaru , Bin Zhu

For AdS boundary conditions, we give a solution of the H3+ two point function involving degenerate field with SL(2)-label b^{-2}/2, which is defined on the full (u,z) unit square. It consists of two patches, one for z<u and one for u<z.…

高能物理 - 理论 · 物理学 2009-04-30 Hendrik Adorf , Michael Flohr

We study the contact terms that appear in the correlation functions of exactly marginal operators using the AdS/CFT correspondence. It is known that CFT with an exactly marginal deformation requires the existence of the contact terms with…

高能物理 - 理论 · 物理学 2020-10-14 Tadakatsu Sakai , Masashi Zenkai

The Lorentzian AdS/CFT correspondence implies a map between local operators in supergravity and non-local operators in the CFT. By explicit computation we construct CFT operators which are dual to local bulk fields in the semiclassical…

高能物理 - 理论 · 物理学 2008-11-26 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

It has been suggested that a $dS_{d+1}$ spacetime of radius $R_{ds}$ has a holographic dual, living at future space-like infinity ${\cal I}^+$, with the bulk wave function being dual to the partition function of the boundary theory,…

高能物理 - 理论 · 物理学 2025-05-27 Indranil Dey , Kanhu Kishore Nanda , Akashdeep Roy , Sandip P. Trivedi

We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS$_2$, and subject to a delta function potential at the center…

高能物理 - 理论 · 物理学 2017-09-20 Sumit R. Das , Antal Jevicki , Kenta Suzuki

We consider the holographic prescription problem in a (Lorentzian) AdS background, deriving from first principles the explicit formulas that relate the field at infinity with the field in the bulk. In contrast with the previous studies of…

数学物理 · 物理学 2015-06-04 Alberto Enciso , Niky Kamran