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By the AdS/CFT correspondence, the expectation value of certain local operators in the CFT is given by the asymptotic value of supergravity fields. We show that these local expectation values contain a remarkable amount of information about…

高能物理 - 理论 · 物理学 2009-10-31 Gary T. Horowitz , Veronika E. Hubeny

We present an analytic way of writing simple crossing symmetric expressions and use them to search for unitary 4-point functions in 2D CFTs. We've applied our method for a class of functions we called generalized polynomials to achieve…

高能物理 - 理论 · 物理学 2021-12-16 Renato G. F. Souza

We develop an analytic approach to the four-point crossing equation in CFT, for general spacetime dimension. In a unitary CFT, the crossing equation (for, say, the s- and t-channel expansions) can be thought of as a vector equation in an…

高能物理 - 理论 · 物理学 2021-09-13 Dalimil Mazac , Leonardo Rastelli , Xinan Zhou

We define a Mellin amplitude for CFT$_1$ four-point functions. Its analytical properties are inferred from physical requirements on the correlator. We discuss the analytic continuation that is necessary for a fully nonperturbative…

高能物理 - 理论 · 物理学 2021-10-19 Lorenzo Bianchi , Gabriel Bliard , Valentina Forini , Giulia Peveri

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…

高能物理 - 理论 · 物理学 2009-11-07 Amit Sever , Assaf Shomer

We present an analytic study of conformal field theories on the real projective space $\mathbb{RP}^d$, focusing on the two-point functions of scalar operators. Due to the partially broken conformal symmetry, these are non-trivial functions…

高能物理 - 理论 · 物理学 2021-08-11 Simone Giombi , Himanshu Khanchandani , Xinan Zhou

We study bimetric gravity through the context of the AdS/CFT correspondence, especially, in the first order hdrodynamic limit. If we put pure general relativity as a bulk field, the boundary field theory is interpreted as fluid of the N = 4…

高能物理 - 理论 · 物理学 2014-07-07 Kouichi Nomura

We report on a calculation of the chiral odd generalized parton distributions (GPDs) for non-zero skewness $\zeta$ in transverse and longitudinal position spaces by taking Fourier transform with respect to the transverse and longitudinal…

高能物理 - 唯象学 · 物理学 2009-08-24 A. Mukherjee , D. Chakrabarti , R. Manohar

We investigate how exchange-graph techniques can be used to study the topology of strata of meromorphic quadratic differentials. The exchange graph provides natural generators for the fundamental group. By extending the combinatorics of…

几何拓扑 · 数学 2026-03-10 Jeonghoon So

We generalize the local surface counterterm prescription suggested in Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the surface counterterm is found for three- and five-dimensional HD gravities. As a result,…

高能物理 - 理论 · 物理学 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

Using the proposed AdS/CFT correspondence, we calculate the correlators of operators of conformal field theory at the boundary of AdS$_{d+1}$ corresponding to the sine-Gordon model in the bulk.

高能物理 - 理论 · 物理学 2007-05-23 Sze-Shiang Feng , Mu-Lin Yan

We discuss how the variational principle can be used as a criterion for choosing, among scalar field actions implying the same equation of motion, the appropriate one for the AdS/CFT correspondence.

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

In the first part of the paper, we discuss different versions of the AdS/CFT dictionary out of equilibrium. We show that the Skenderis - van Rees prescription and the "extrapolate" dictionary are equivalent at the level of "in-in" two point…

高能物理 - 理论 · 物理学 2015-04-28 Ville Keranen , Philipp Kleinert

We define transformation of multiplets of fields (Jordan cells) under the D-dimensional conformal group, and calculate two and three point functions of fields, which show logarithmic behaviour. We also show how by a formal differentiation…

高能物理 - 理论 · 物理学 2009-10-30 A. M. Ghezelbash , V. Karimipour

AdS/CFT duality is a conjectured dual correspondence between the large $N$ limit of Conformal Field Theory (CFT) in $d$-dimensions and the supergravity (SUGRA) in $d+1$-dimensional Anti de Sitter (AdS) space. By using this conjecture, we…

高能物理 - 理论 · 物理学 2007-05-23 Sachiko Ogushi

The number of asymptotically de Sitter (non-singular) solutions of 5d dilatonic gravity with positive cosmological constant is found. These solutions are similar to the previously known asymptotically AdS spaces where dilaton may generate…

高能物理 - 理论 · 物理学 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We consider the CFT that arises from the D1-D5 system in the presence of a constant background gauge potential which couples to the R-charge of the theory: this potential effectively changes the periodicities of the fermions. By the AdS/CFT…

高能物理 - 理论 · 物理学 2007-05-23 Samir D. Mathur

We study 2D Maxwell-dilaton gravity on AdS(2). We distinguish two distinctive cases depending on whether the AdS(2) solution can be lifted to an AdS(3) geometry. In both cases, in order to get a consistent boundary condition we need to work…

高能物理 - 理论 · 物理学 2009-12-04 Mohsen Alishahiha , Farhad Ardalan

We consider tensor-multiscalar representations for several types of modified gravity actions. The first example is the theory with the action representing an arbitrary smooth function of the scalar curvature R and (Box R), the integrand of…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Davi C. Rodrigues , Filipe de O. Salles , Ilya L. Shapiro , Alexei A. Starobinsky

We give a brief review of the AdS/CFT correspondence, which posits the equivalence between a certain gravitational theory and a lower-dimensional non-gravitational one. This remarkable duality, formulated in 1997, has sparked a vigorous…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Veronika E. Hubeny