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The AdS_3/CFT_2 correspondence is checked beyond the supergravity approximation by comparing correlation functions. To this end we calculate 2- and 3-point functions on the sphere of certain chiral primary operators for strings on AdS_3 x…

High Energy Physics - Theory · Physics 2010-10-27 Matthias R. Gaberdiel , Ingo Kirsch

We discuss possible choices for boundary conditions in the AdS/CFT correspondence, and calculate the renormalisation group flow induced by a double-trace perturbation. In running from the UV to the IR there is a unit shift in the central…

High Energy Physics - Theory · Physics 2016-09-06 David Nolland

We consider the conformally invariant cubic wave equation on the Einstein cylinder $\mathbb{R} \times \mathbb{S}^3$ for small rotationally symmetric initial data. This simple equation captures many key challenges of nonlinear wave dynamics…

Analysis of PDEs · Mathematics 2017-05-22 Piotr Bizoń , Ben Craps , Oleg Evnin , Dominika Hunik , Vincent Luyten , Maciej Maliborski

Correlation functions of Logarithmic conformal field theory is investigated using the ADS/CFT correspondence and a novel method based on nilpotent weights and 'super fields'. Adding an specific form of interaction, we introduce a…

High Energy Physics - Theory · Physics 2009-11-10 S. Moghimi-Araghi , S. Rouhani , M. Saadat

Understanding the link between correlation functions (CFs) of local operators and measurable collider correlators has emerged as a new opportunity in the study of gauge theory dynamics at colliders. While in Conformal Field Theories (CFTs)…

High Energy Physics - Theory · Physics 2026-03-25 Hao Chen , Pier Francesco Monni , Zhaoyan Pang , Gherardo Vita , Hua Xing Zhu

We compute a family of scalar loop diagrams in $AdS$. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities enable to reduce certain loop bubble diagrams to lower loop diagrams, and…

High Energy Physics - Theory · Physics 2021-05-31 Dean Carmi

We apply the AdS/CFT correspondence to derive expressions for the scattering amplitudes at high energy for gauge theories at strong coupling. A method is proposed based on the computation of correlators of Wilson loop operators by their…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

We study local operator insertions on 1/2-BPS line defects in ABJM theory. Specifically, we consider a class of four-point correlators in the CFT$_1$ with SU$(1, 1|3)$ superconformal symmetry defined on the 1/2-BPS Wilson line. The relevant…

High Energy Physics - Theory · Physics 2020-09-09 Lorenzo Bianchi , Gabriel Bliard , Valentina Forini , Luca Griguolo , Domenico Seminara

There are holographic superconformal theories in all dimensions between two and six which allow arbitrary tree-level four-point functions to be fixed by basic consistency conditions. Although Mellin space is usually the most efficient…

High Energy Physics - Theory · Physics 2025-02-06 Connor Behan , Rodrigo S. Pitombo

We implement an explicit two-loop calculation of the coupling functions and the self-energy of interacting fermions with a two-dimensional flat Fermi surface in the framework of the field theoretical renormalization group (RG) approach.…

Strongly Correlated Electrons · Physics 2009-11-10 H. Freire , E. Correa , A. Ferraz

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_4 x CP^3, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2011-03-22 D. Arnaudov , R. C. Rashkov

Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d-2)-dimensional CFT in terms of a five-term linear combination of blocks of a d-dimensional…

High Energy Physics - Theory · Physics 2021-04-07 Sarah Hoback , Sarthak Parikh

We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scalar fields acquire expectation values, and…

High Energy Physics - Theory · Physics 2010-04-07 Igor R. Klebanov , Edward Witten

We study correlators of $\frac{1}{2}$-BPS mesons in two examples of 4d SQCDs with $\mathcal{N}=2$ superconformal symmetry in the planar limit. We focus on the weakly coupled regime and obtain one-loop corrections to $n$-point meson…

High Energy Physics - Theory · Physics 2024-12-24 Xi-Er Du , Zhongjie Huang , Bo Wang , Ellis Ye Yuan , Xinan Zhou

We initiate a systematic investigation of Mellin amplitudes of Witten diagrams to all loop levels, by introducing integral recursion relations among them. Focusing on the scalar effective theories in AdS with the simplest type of…

High Energy Physics - Theory · Physics 2018-03-01 Ellis Ye Yuan

We use the group-theoretic interpretation of the AdS/CFT correspondence which we proposed earlier in order to lift intertwining operators acting between boundary conformal representations to intertwining operators acting between bulk…

High Energy Physics - Theory · Physics 2007-05-23 V. K. Dobrev

The prescription of the AdS/CFT correspondence is refined by using a regularization procedure, which makes is possible to calculate the divergent local terms in the CFT two-point function. We present the procedure for the example of the…

High Energy Physics - Theory · Physics 2010-02-03 W. Mueck , K. S. Viswanathan

We construct a new AdS_4 background in Type IIB supergravity by means of a non-Abelian T-duality transformation on the Type IIA dual of ABJM. The analysis of probe and particle-like branes suggests a dual CFT in which each of the gauge…

High Energy Physics - Theory · Physics 2015-06-22 Yolanda Lozano , Niall T. Macpherson

Using the precursor map in AdS/CFT, the renormalization group cutoff function is mapped to the dual theory. The resulting flow equations on the two sides of the duality are compared.

High Energy Physics - Theory · Physics 2019-09-04 Farhad Ardalan

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo