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Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state. Such a…

High Energy Physics - Theory · Physics 2021-01-05 Stefano Giusto , Sami Rawash , David Turton

We calculate the four point correlation function for scalar perturbations in the canonical model of slow-roll inflation. We work in the leading slow-roll approximation where the calculation can be done in de Sitter space. Our calculation…

High Energy Physics - Theory · Physics 2014-10-14 Archisman Ghosh , Nilay Kundu , Suvrat Raju , Sandip P. Trivedi

In this paper we study one-dimensional conformal field theory at finite temperature dual to the two-dimensional anti-de Sitter spacetime in the Rindler coordinates. We show that conformal symmetry for thermal two-point functions manifests…

High Energy Physics - Theory · Physics 2016-11-04 Satoshi Ohya

In this paper we evaluate the Wightman functions associated with a massive quantum scalar field in de Sitter and anti-de Sitter spacetimes in the presence of a cosmic string. Having these functions we calculate the corresponding…

High Energy Physics - Theory · Physics 2012-10-03 Eugênio R. Bezerra de Mello

WAdS/WCFT correspondence is an interesting realization of non-AdS holography. It relates 3-dimensional Warped-Anti-de Sitter (WAdS$_3$) spaces to a special class of 2-dimensional quantum field theory with chiral scaling symmetry that acts…

High Energy Physics - Theory · Physics 2023-01-11 Gerónimo Caselli , Gaston Giribet , Andrés Goya

We develop a formalism to evaluate generic scalar exchange diagrams in AdS_{d+1} relevant for the calculation of four-point functions in AdS/CFT correspondence. The result may be written as an infinite power series of functions of…

High Energy Physics - Theory · Physics 2016-08-25 Hong Liu

This is a status report on a research program aimed at obtaining quantum-gravitational physics inside a cosmological horizon through dS/CFT, i.e. through a holographic description at past/future infinity of de Sitter space. The program aims…

High Energy Physics - Theory · Physics 2018-01-24 Yasha Neiman

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…

High Energy Physics - Theory · Physics 2020-10-14 Tadakatsu Sakai , Masashi Zenkai

We consider the coupling of a free scalar to a single-trace operator of a large N CFT in d dimensions. This is equivalent to a double-trace deformation coupling two primary operators of the CFT, in the limit when one of the two saturates…

High Energy Physics - Theory · Physics 2016-06-29 Vladimir Bashmakov , Matteo Bertolini , Lorenzo Di Pietro , Himanshu Raj

We study the dual CFT description of the $d+1$-dimensional Reissner-Nordstr\"om-Anti de Sitter (RN-AdS$_{d+1}$) black hole in the large dimension (large $d$) limit, both for the extremal and nonextremal cases. The central charge of the dual…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Er-Dong Guo , Miao Li , Jia-Rui Sun

The two-point Green function of a local operator in CFT corresponding to a massive symmetric tensor field on the AdS background is computed in the framework of the AdS/CFT correspondence. The obtained two-point function is shown to coincide…

High Energy Physics - Theory · Physics 2009-10-31 Aleksey Polishchuk

The Wightman two-point function for the gravitational field in the linear approximation (the rank-2 ``massless'' tensor field) on de Sitter space has a pathological behaviour for large separated points (infrared divergence). This behaviour…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. V. Takook

Recently, two groups have made distinct proposals for a de Sitter space that is emergent from conformal field theory (CFT). The first proposal is that, for two-dimensional holographic CFTs, the kinematic space of geodesics on a spacelike…

High Energy Physics - Theory · Physics 2016-11-17 Curtis T. Asplund , Nele Callebaut , Claire Zukowski

Classical Density Functional Theory (DFT) is a statistical-mechanical framework to analyze fluids, which accounts for nanoscale fluid inhomogeneities and non-local intermolecular interactions. DFT can be applied to a wide range of…

Computational Engineering, Finance, and Science · Computer Science 2017-02-07 Andreas Nold , Benjamin D. Goddard , Peter Yatsyshin , Nikos Savva , Serafim Kalliadasis

We write down an action for a charged, massive spin two field in a fixed Einstein background. Despite some technical problems, we argue that in an effective field theory framework and in the context of the AdS/CFT correspondence, this…

High Energy Physics - Theory · Physics 2010-11-30 Francesco Benini , Christopher P. Herzog , Rakibur Rahman , Amos Yarom

From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a…

General Relativity and Quantum Cosmology · Physics 2012-07-10 M. V. Takook , H. Pejhan , M. Reza Tanhayi

SL(2,Z) duality transformations in asymptotically AdS4 x S^7 act non-trivially on the three-dimensional SCFT of coincident M2-branes on the boundary. We show how S-duality acts away from the IR fixed point. We develop a systematic method to…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian de Haro , Peng Gao

We use the dS/CFT correspondence and bulk gravity to predict the form of the renormalized holographic three-point correlation function of the operator which is dual to the inflaton field perturbation during single-field, slow-roll…

Astrophysics · Physics 2007-05-23 David Seery , James E. Lidsey

Warped conformal field theory (WCFT) is a two dimensional quantum field theory whose local symmetry algebra consists of a Virasoro algebra and a U(1) Kac-Moody algebra. In this paper, we study correlation functions for primary operators in…

High Energy Physics - Theory · Physics 2018-09-11 Wei Song , Jianfei Xu

We derive the general formula, at a finite cutoff, for the change in the boundary condition of a scalar field in AdS under a Multiple-trace deformation of the dual CFT. Our analysis suggests that fluctuations around the classical solution…

High Energy Physics - Theory · Physics 2009-11-07 Amit Sever , Assaf Shomer