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The graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS(d+1). This enables us to complete the computation of the 4-point amplitudes of dilaton and axion fields in…

High Energy Physics - Theory · Physics 2010-04-06 Eric D'Hoker , Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

We propose and demonstrate a new use for conformal field theory (CFT) crossing equations in the context of AdS/CFT: the computation of loop amplitudes in AdS, dual to non-planar correlators in holographic CFTs. Loops in AdS are largely…

High Energy Physics - Theory · Physics 2019-12-20 Ofer Aharony , Luis F. Alday , Agnese Bissi , Eric Perlmutter

We argued in arXiv:1408.0624 that the quartic scalar field in AdS has features that could be instructive for answering the gravitational stability question of AdS. Indeed, the conserved charges identified there have recently been observed…

High Energy Physics - Theory · Physics 2015-06-11 Pallab Basu , Chethan Krishnan , P. N. Bala Subramanian

By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how…

High Energy Physics - Theory · Physics 2022-07-06 Kenta Suzuki , Tadashi Takayanagi

We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence…

High Energy Physics - Theory · Physics 2014-11-18 Satoshi Ohya

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary…

High Energy Physics - Theory · Physics 2009-11-11 Donald Marolf , Simon Ross

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We explore conformally coupled scalar theory in AdS$_{6}$ extensively and their classical solutions by employing power expansion order by order in its self-interaction coupling $\lambda$. We study holographic correlation functions of scalar…

High Energy Physics - Theory · Physics 2020-12-30 Jae-Hyuk Oh

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…

High Energy Physics - Theory · Physics 2017-09-20 Sumit R. Das , Antal Jevicki , Kenta Suzuki

Recently there has been progress on the calculation of n-point correlation functions with two "heavy" (with large quantum numbers) states at strong coupling. We extend these findings by computing three-point functions corresponding to a…

High Energy Physics - Theory · Physics 2011-08-11 D. Arnaudov , R. C. Rashkov , T. Vetsov

Non-chiral operators with positive anomalous dimensions can have interesting applications to supersymmetric model building. Motivated by this, we develop a new method for obtaining the anomalous dimensions of non-chiral double-trace…

High Energy Physics - Theory · Physics 2015-05-28 A. Liam Fitzpatrick , David Shih

We present the complete family of solutions of 3D gravity (Lambda<0) with two asymptotically AdS exterior regions. The solutions are constructed from data at the two boundaries, which correspond to two independent and arbitrary stress…

High Energy Physics - Theory · Physics 2015-06-19 Gautam Mandal , Ritam Sinha , Nilakash Sorokhaibam

Recently, exact agreement has been found between bulk and boundary three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a non-trivial check of AdS/CFT correspondence beyond the supergravity approximation as it…

High Energy Physics - Theory · Physics 2011-06-02 Gaston Giribet , Lorena Nicolás

We consider three-point correlation functions for superstrings propagating in AdS$_3\times S^3 \times T^4$. In the RNS formalism, these generically involve correlators with current insertions. When vertex operators with non-trivial spectral…

High Energy Physics - Theory · Physics 2023-02-23 Sergio Iguri , Nicolas Kovensky , Julian H. Toro

We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the…

High Energy Physics - Theory · Physics 2021-06-30 Yolanda Lozano , Anayeli Ramirez

Bootstrap equations for conformal correlators that mimic the early theory of conformal bootstrap are written down in frames of the AdS/CFT approach. The simplified version of these equations, that may be justified if Schwinger-Keldysh…

High Energy Physics - Theory · Physics 2020-01-28 Boris L. Altshuler

It has been proposed that Randall-Sundrum models can be holographically described by a regularized (broken) conformal field theory. We analyze the foundations of this duality using a regularized version of the AdS/CFT correspondence. We…

High Energy Physics - Theory · Physics 2009-11-07 Manuel Perez-Victoria

Recently E.Verlinde and H.Verlinde have suggested an effective two-dimensional theory describing the high-energy scattering in QCD. In this report we attempt to clarify some issues of this suggestion. We consider {\it anisotropic…

High Energy Physics - Theory · Physics 2007-05-23 I. Ya. Aref'eva , I. V. Volovich

We present a calculation of three point functions for a class of chiral operators, including the primary ones, in d = 3, N = 8; d = 6, N = (2,0) and d = 4, N = 4 superconformal field theories at large N. These theories are related to the…

High Energy Physics - Theory · Physics 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

We generalize the color/kinematics duality of flat-space scattering amplitudes to the embedding space formulation of AdS boundary correlators. Kinematic numerators and propagators are replaced with differential operators acting on a scalar…

High Energy Physics - Theory · Physics 2021-11-03 Pranav Diwakar , Aidan Herderschee , Radu Roiban , Fei Teng