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In this paper, we explore correlators of a series of theories in anti-de Sitter space: we present comprehensive results for interactions involving scalars, gluons, and gravitons in multiple dimensions. One aspect of our investigation is the…

高能物理 - 理论 · 物理学 2023-12-05 Soner Albayrak , Savan Kharel , Xinkang Wang

These lecture notes aim to provide a pedagogical introduction to the AdS/CFT correspondence and its extensions to spacetimes with positive (de Sitter spacetime) and zero (flat spacetime) cosmological constant. We begin by explaining the…

高能物理 - 理论 · 物理学 2026-02-04 Gopal Yadav

The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the two-dimensional (2D) global conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are specified. Consequent similarities of 4D flat…

高能物理 - 理论 · 物理学 2017-10-04 Sabrina Pasterski , Shu-Heng Shao , Andrew Strominger

The pp-wave (Penrose limit) in conformal field theory can be viewed as a special contraction of the unitary representations of the conformal group. We study the kinematics of conformal fields in this limit in a geometric approach where the…

高能物理 - 理论 · 物理学 2009-11-07 G. Arutyunov , E. Sokatchev

We investigate the anti-de Sitter (AdS) counterpart to the well studied de Sitter (dS) model for energy-momentum space, viz "$\kappa$-momentum space" space (with a structure based on the properties of the $\kappa$-Poincar\'e Hopf algebra).…

广义相对论与量子宇宙学 · 物理学 2015-07-22 Michele Arzano , Giulia Gubitosi , Joao Magueijo , Giovanni Amelino-Camelia

AdS waves and pp-waves can only be supported by pure radiation fields, for which the only nonvanishing component of the energy-momentum tensor is the energy density along the retarded time. We show that the nonminimal coupling of…

高能物理 - 理论 · 物理学 2016-08-16 Eloy Ayón-Beato , Mokhtar Hassaïne

Using a metric conformal formulation of the Einstein equations, we develop a construction of 4-dimensional anti-de Sitter-like spacetimes coupled to tracefree matter models. Our strategy relies on the formulation of an initial-boundary…

广义相对论与量子宇宙学 · 物理学 2021-06-07 Diego A. Carranza , Juan A. Valiente Kroon

A solution to the massless scalar cosmological constant field equations is presented. The solution has imploding scalar and parts of anti-deSitter or deSitter spacetime as limiting cases. Some of the solutions properties are discussed…

广义相对论与量子宇宙学 · 物理学 2019-07-30 Mark D. Roberts

In a recent paper [1], it has been shown that negative norm states are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mohammad Vahid Takook

We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an induced metric defined from the flowed field…

高能物理 - 理论 · 物理学 2018-04-17 Sinya Aoki , Shuichi Yokoyama

We develop a formalism to calculate the effective action of the strongly coupled conformal field theory (CFT) in curved spacetime. The effective action of the CFT is obtained from AdS/CFT correspondence. The anti de-Sitter (AdS) spacetime…

高能物理 - 理论 · 物理学 2010-02-03 Kazuya Koyama , Jiro Soda

Using unfolded formulation of free equations for massless fields of all spins we obtain explicit form of higher-spin conformal conserved charges bilinear in 4d massless fields of arbitrary spins.

高能物理 - 理论 · 物理学 2008-11-26 O. A. Gelfond , E. D. Skvortsov , M. A. Vasiliev

The Klein-Gordon and Dirac equation for a massive charged field in a uniform electric field has a symmetry of two-dimensional global de Sitter (dS) and anti-de Sitter (AdS) space. In the in-out formalism the mean numbers of spinors…

高能物理 - 理论 · 物理学 2026-01-08 Chiang-Mei Chen , Chun-Chih Huang , Sang Pyo Kim , Kuan-Yen Lin

We present results from the evolution of spacetimes that describe the merger of asymptotically global AdS black holes in 5D with an SO(3) symmetry. Prompt scalar field collapse provides us with a mechanism for producing distinct trapped…

高能物理 - 理论 · 物理学 2015-03-05 Hans Bantilan , Paul Romatschke

By use of the AdS/CFT correspondence on orbifolds, models are derived which can contain the standard model of particle phenomenology. It will be assumed that the theory becomes conformally invariant at a renormalization-group fixed-point in…

高能物理 - 唯象学 · 物理学 2007-05-23 Paul H. Frampton

We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an index-free notation where tensors are encoded by polynomials in auxiliary…

高能物理 - 理论 · 物理学 2015-01-26 Miguel S. Costa , Joao Penedones , David Poland , Slava Rychkov

This paper deals thoroughly with the scalar and electromagnetic fields of uniformly accelerated charges in de Sitter spacetime. It gives details and makes various extensions of our Physical Review Letter from 2002. The basic properties of…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Jiri Bicak , Pavel Krtous

In this work, we investigate four-dimensional planar black hole solutions in anti-de Sitter spacetimes in light of the so-called scale-dependent scenario. To obtain this new family of solutions, the classical couplings of the theory, i.e.,…

广义相对论与量子宇宙学 · 物理学 2019-01-14 Ángel Rincón , Ernesto Contreras , Pedro Bargueño , Benjamin Koch

We provide a general method for studying a manifestly covariant formulation of $p$-form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto…

高能物理 - 理论 · 物理学 2008-11-26 Rabin Banerjee

We derive the response function for a comoving, pointlike Unruh-DeWitt particle detector coupled to a complex scalar field $\phi$, in the $(3+1)$-dimensional cosmological de Sitter spacetime. The field-detector coupling is taken to be…

高能物理 - 理论 · 物理学 2021-02-19 Md. Sabir Ali , Sourav Bhattacharya , Kinjalk Lochan