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In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet…

High Energy Physics - Theory · Physics 2014-11-20 Simone Giombi , Xi Yin

We study correlation functions on the Coulomb branch of planar $\mathcal{N} = 4$ super-Yang- Mills theory (SYM), and their relationship with integrability, the operator product expansion (OPE), the sum rule, the large charge expansion, and…

High Energy Physics - Theory · Physics 2024-09-12 Vyacheslav Ivanovskiy , Shota Komatsu , Victor Mishnyakov , Nikolay Terziev , Nikita Zaigraev , Konstantin Zarembo

We derive a dispersion relation for two-point correlation functions in defect conformal field theories. The correlator is expressed as an integral over a (single) discontinuity that is controlled by the bulk channel operator product…

High Energy Physics - Theory · Physics 2023-08-02 Lorenzo Bianchi , Davide Bonomi

We develop a systematic method to constrain any n-point correlation function of spinning operators in Large N Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which…

High Energy Physics - Theory · Physics 2024-03-26 Prabhav Jain , Sachin Jain , Bibhut Sahoo , Dhruva K. S , Aashna Zade

We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N=4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that…

High Energy Physics - Theory · Physics 2010-02-03 Kazumi Okuyama , Li-Sheng Tseng

We study a fourth-order derivative scalar field configuration in a fixed Lifshitz background. Using an auxiliary field we rewrite the equations of motion as two coupled second order equations. We specialize to the limit that the mass of the…

High Energy Physics - Theory · Physics 2015-05-28 Eric A. Bergshoeff , Sjoerd de Haan , Wout Merbis , Jan Rosseel

We study a topological field theory in four dimensions on a manifold with boundary. A bulk-boundary interaction is introduced through a novel variational principle rather than explicitly. Through this scheme we find that the boundary values…

High Energy Physics - Theory · Physics 2010-01-06 Viqar Husain , Sebastian Jaimungal

We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schroedinger background with dynamical exponent z=2 at zero temperature and zero chemical potential. We offer a closed expression of…

High Energy Physics - Theory · Physics 2009-07-30 Carlos A. Fuertes , Sergej Moroz

We develop a systematic perturbative expansion and compute the one-loop two-points, three-points and four-points correlation functions in a non-commutative version of the U(N) Wess-Zumino-Witten model in different regimes of the…

High Energy Physics - Theory · Physics 2016-08-15 Adrián R. Lugo

Conformal blocks are the building blocks for correlation functions in conformal field theories. The four-point function is the most well-studied case. We consider conformal blocks for $n$-point correlation functions. For conformal field…

High Energy Physics - Theory · Physics 2019-03-27 Vladimir Rosenhaus

Boundaries in three-dimensional $\mathcal{N}=2$ superconformal theories may preserve one half of the original bulk supersymmetry. There are two possibilities which are characterized by the chirality of the leftover supercharges. Depending…

High Energy Physics - Theory · Physics 2021-05-05 Aleix Gimenez-Grau , Pedro Liendo , Philine van Vliet

We compute thermal holographic correlators by combining their analytic structure with the Kubo-Martin-Schwinger (KMS) condition and multi-stress tensor OPE coefficients determined from the dual AdS description. We focus on two-point…

High Energy Physics - Theory · Physics 2025-11-14 Julien Barrat , Deniz N. Bozkurt , Enrico Marchetto , Alessio Miscioscia , Elli Pomoni

We compute a variety of two and three-point real-time correlation functions for a strongly-coupled non-relativistic field theory. We focus on the theory conjectured to be dual to the Schr\"{o}dinger-invariant gravitational spacetime…

High Energy Physics - Theory · Physics 2011-03-07 Edwin Barnes , Diana Vaman , Chaolun Wu

We examine the Regge limit of holographic 4-point correlation functions in AdS$_3\times S^3$ involving two heavy and two light operators. In this kinematic regime such correlators can be reconstructed from the bulk phase shift accumulated…

High Energy Physics - Theory · Physics 2021-07-21 Nejc Ceplak , Marcel R. R. Hughes

We investigate the multi-loop correlators and the multi-point functions for all of the scaling operators in unitary minimal conformal models coupled to two-dimensional gravity from the two-matrix model. We show that simple fusion rules for…

High Energy Physics - Theory · Physics 2008-02-03 Masahiro Anazawa

We develop new techniques for computing exact correlation functions of a class of local operators, including certain monopole operators, in three-dimensional $\mathcal{N} = 4$ abelian gauge theories that have superconformal infrared limits.…

High Energy Physics - Theory · Physics 2025-02-18 Mykola Dedushenko , Yale Fan , Silviu S. Pufu , Ran Yacoby

We compute 4-point correlators in $\mathcal{N} = 4$ $SU(N)$ Super-Yang-Mills with both single and double-particle $1/2$-BPS operators in the regime of large 't Hooft coupling and large $N$. In particular we give explicit expressions up to…

High Energy Physics - Theory · Physics 2025-07-18 Francesco Aprile , Stefano Giusto , Rodolfo Russo

We study a subsector of the AdS_4/CFT_3 correspondence where a class of solutions in the bulk and on the boundary can be explicitly compared. The bulk gravitational theory contains a conformally coupled scalar field with a Phi^4 potential,…

High Energy Physics - Theory · Physics 2010-02-03 Sebastian de Haro , Anastasios C. Petkou

We continue the study of four-point correlation functions by the hexagon tessellation approach initiated in 1611.05436 and 1611.05577. We consider planar tree-level correlation functions in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory…

High Energy Physics - Theory · Physics 2018-04-04 Burkhard Eden , Yunfeng Jiang , Dennis le Plat , Alessandro Sfondrini

We consider the correlation functions of Coulomb branch operators in four-dimensional N=2 Superconformal Field Theories (SCFTs) involving exactly one anti-chiral operator. These extremal correlators are the "minimal" non-holomorphic local…

High Energy Physics - Theory · Physics 2017-01-26 Efrat Gerchkovitz , Jaume Gomis , Nafiz Ishtiaque , Avner Karasik , Zohar Komargodski , Silviu S. Pufu