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We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS…

High Energy Physics - Theory · Physics 2009-11-18 León Berdichevsky , Pieter Naaijkens

We construct the supercurrent multiplet that contains the energy-momentum tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to the fields of conformal supergravity, we first construct the linearized superconformal…

High Energy Physics - Theory · Physics 2009-10-31 Eric Bergshoeff , Ergin Sezgin , Antoine Van Proeyen

We develop bootstrap methods for mixed heavy-light four-point correlators $\langle GGOO\rangle$ in $\mathcal N=4$ super-Yang--Mills theory at large $N$, where $O\equiv {\cal O}_2$ is the chiral primary operator in the stress-tensor…

High Energy Physics - Theory · Physics 2026-05-18 Song He , Canxin Shi , Yichao Tang , Congkao Wen

We consider $\alpha'$ corrections to four-point correlators of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory in the supergravity limit. By demanding the correct behaviour in the flat space limit, we find that the leading…

High Energy Physics - Theory · Physics 2020-01-28 J. M. Drummond , D. Nandan , H. Paul , K. S. Rigatos

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

Extremal cubic couplings in AdS relate bulk fields such that $\Delta_i+\Delta_j=\Delta_k$. Such couplings lead to divergent 3-point Witten diagrams, and do not occur in theories with maximal supersymmetry. We consider the simplest theories…

High Energy Physics - Theory · Physics 2025-07-02 Shai M. Chester , Rishi Mouland , Jesse van Muiden

In this work, we revisit and elaborate on twisted holography for AdS$_3 \times S^3 \times X$ with $X= T^4$, K3, with a particular focus on K3. We describe the twist of supergravity, identify the corresponding (generalization of) BCOV…

High Energy Physics - Theory · Physics 2024-10-09 Víctor E. Fernández , Natalie M. Paquette , Brian R. Williams

We consider mixed gluon-graviton scattering in Type IIB string theory on AdS$_5\times S^5/\mathbb{Z}_2$ in the presence of D7 branes, which is dual to a mixed correlator of the $SO(8)$ and $SU(2)_L$ flavor multiplets of a certain 4d…

High Energy Physics - Theory · Physics 2025-05-13 Shai M. Chester , Pietro Ferrero , Daniele R. Pavarini

We discuss an ${\cal R}+{\cal R}^n$ class of modified ${\cal N}=1$, D=4 supergravity models where the deformation is a monomial ${\cal R}^n\big|_F$ in the chiral scalar curvature multiplet ${\cal R}$ of the "old minimal" auxiliary field…

High Energy Physics - Theory · Physics 2015-06-17 Sergio Ferrara , Alex Kehagias , Massimo Porrati

In the N=1 four-dimensional new-minimal supergravity framework, we supersymmetrise the coupling of the scalar kinetic term to the Einstein tensor. This coupling, although introduces a non-minimal derivative interaction of curvature to…

High Energy Physics - Theory · Physics 2015-06-04 Fotis Farakos , Cristiano Germani , Alex Kehagias , Emmanuel N. Saridakis

Supersymmetric higher derivative gravities define superconformal field theories via the AdS/CFT correspondence. From the boundary theory viewpoint, supersymmetry implies a relation between the coefficients which determine the three point…

High Energy Physics - Theory · Physics 2011-02-28 Manuela Kulaxizi , Andrei Parnachev

In this short note, we have generalized and constructed gravity solutions with two "exponents" {\it a la} Kachru, Liu and Mulligan. The coordinate system that is used to construct the gravity solution is useful when $b$ vanishes. It means…

High Energy Physics - Theory · Physics 2008-10-17 Shesansu Pal

We propose a definition of Mellin amplitudes for conformal correlators involving arbitrary spinning operators in tensor representations of the Lorentz group. These representations cover all bosonic local operators. Our strategy is to…

High Energy Physics - Theory · Physics 2025-10-10 Zhongjie Huang , Yichao Tang

We study non-planar correlators in ${\cal N}=4$ super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order $1/N^4$ and in a strong coupling expansion. This can be regarded as the genus-one four-point…

High Energy Physics - Theory · Physics 2019-01-01 Luis F. Alday

We study supervertices in six dimensional (2,0) supergravity theories, and derive supersymmetry non-renormalization conditions on the 4- and 6-derivative four-point couplings of tensor multiplets. As an application, we obtain exact…

High Energy Physics - Theory · Physics 2016-01-27 Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin

We consider the D=4, N=8 supergravity on AdS2 x S2 space. We obtain the truncated Lagrangian for the bosonic chiral primary fields, and compute the tree level three-point correlation functions.

High Energy Physics - Theory · Physics 2009-10-31 Julian Lee

We study supersymmetric $AdS_4\times \Sigma_2$ and $AdS_3\times \Sigma_3$ solutions in half-maximal gauged supergravity in six dimensions with $SU(2)_R\times SU(2)$ gauge group. The gauged supergravity is obtained by coupling three vector…

High Energy Physics - Theory · Physics 2018-12-31 Parinya Karndumri

We consider the four-point function of operators in the stress tensor multiplet of the $U(N)_k\times U(N)_{-k}$ ABJM theory, in the limit where $N$ is taken to infinity while $N/k^{5}$ is held fixed. In this limit, ABJM theory is…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu

We study matter-coupled $N=3$ gauged supergravity in four dimensions with various semisimple gauge groups. When coupled to $n$ vector multiplets, the gauged supergravity contains $3+n$ vector fields and $3n$ complex scalars parametrized by…

High Energy Physics - Theory · Physics 2016-06-22 Parinya Karndumri , Khem Upathambhakul

We show that the supersymmetric near horizon black hole geometries of 6-dimensional supergravity coupled to any number of scalar and tensor multiplets are either locally $AdS_3\times \Sigma^3$, where \Sigma^3 is a homology 3-sphere, or…

High Energy Physics - Theory · Physics 2012-02-16 Mehmet Akyol , George Papadopoulos
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