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We present a construction of the integrand of the correlation function of four stress-tensor multiplets in N=4 SYM at weak coupling. It does not rely on Feynman diagrams and makes use of the recently discovered symmetry of the integrand…

高能物理 - 理论 · 物理学 2015-06-03 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We consider free superconformal theories of n=8 scalar multiplet in d=3 and (2,0) tensor multiplet in d=6 and compute 2-point and 3-point correlators of their stress tensors. The results for the 2-point and 3-point correlators for a single…

高能物理 - 理论 · 物理学 2009-09-17 F. Bastianelli , S. Frolov , A. A. Tseytlin

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…

高能物理 - 理论 · 物理学 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu

Certain two and three point functions of gauge invariant primary operators of ${\cal N}=4$ SYM are computed in ${\cal N}=1$ superspace keeping all the $\th$-components. This allows one to read off many component descendent correlators. Our…

高能物理 - 理论 · 物理学 2009-10-31 F. Gonzalez-Rey , B. Kulik , I. Y. Park

We study the stress tensor four-point function for $\mathcal{N}=4$ SYM with gauge group $G=SU(N)$, $SO(2N+1)$, $SO(2N)$ or $USp(2N)$ at large $N$. When $G=SU(N)$, the theory is dual to type IIB string theory on $AdS_5\times S^5$ with…

高能物理 - 理论 · 物理学 2021-12-30 Luis F. Alday , Shai M. Chester , Tobias Hansen

We show that next-to-extremal correlators of chiral primary operators in N=4 SYM theory do not receive quantum corrections to first order in perturbation theory. Furthermore we consider next-to-extremal correlators within AdS supergravity.…

高能物理 - 理论 · 物理学 2009-10-31 J. Erdmenger , M. Perez-Victoria

We consider a semiclassical (large string tension ~ \lambda^1/2) limit of 4-point correlator of two "heavy" vertex operators with large quantum numbers and two "light" operators. It can be written in a factorized form as a product of two…

高能物理 - 理论 · 物理学 2011-03-18 E. I. Buchbinder , A. A. Tseytlin

We compute four point functions of the stress tensor and conserved currents in AdS_4/CFT_3 using bulk perturbation theory. We work at treel level in the bulk theory, which we take to be either pure gravity or Yang Mills theory in AdS. We…

高能物理 - 理论 · 物理学 2013-05-30 Suvrat Raju

In this short note we use the flat space limit and the relation between the 4-pt correlation function of the bottom and top components of the stress tensor multiplet to constraint its stringy corrections at strong coupling in the planar…

高能物理 - 理论 · 物理学 2015-04-30 Vasco Gonçalves

Integrated correlator of four superconformal stress-tensor primaries in $SU(N)$ $\mathcal{N}=4$ super Yang-Mills (SYM) theory in the perturbative limit takes a remarkably simple form, where the $L$-loop coefficient is given by a rational…

高能物理 - 理论 · 物理学 2024-10-21 Shun-Qing Zhang

We consider the four-point correlator of the stress-energy tensor multiplet in ${\cal N}=4$ SYM. In the planar limit and at large 't Hooft coupling such correlator is given by the corresponding holographic correlation function in IIB…

高能物理 - 理论 · 物理学 2017-11-01 Luis F. Alday , Agnese Bissi

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…

高能物理 - 理论 · 物理学 2009-11-18 León Berdichevsky , Pieter Naaijkens

The four-point correlation function of two 1/2 BPS primaries of conformal weight $\Delta=2$ and two 1/2-BPS primaries of conformal weight $\Delta=n$ is calculated in the large 't Hooft, large $N$ limit. These operators are dual to…

高能物理 - 理论 · 物理学 2009-04-02 Linda I. Uruchurtu

We study the four-point correlation function of stress-tensor supermultiplets in N=4 SYM using the method of Lagrangian insertions. We argue that, as a corollary of N=4 superconformal symmetry, the resulting all-loop integrand possesses an…

高能物理 - 理论 · 物理学 2015-05-30 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We report some recent progress in the computation of the n-point correlation functions of conserved currents in a class of four dimensional conformal field theories with higher spin symmetry. Global conformal invariance leads to very strong…

高能物理 - 理论 · 物理学 2013-12-12 Yassen S. Stanev

We present an analysis of the perturbative realization of the $TTJJ$ correlator, with two stress energy tensors and two conserved currents, using free field theory realizations, integrating out conformal sectors in the quantum corrections.…

高能物理 - 理论 · 物理学 2023-06-07 Claudio Corianò , Matteo Maria Maglio , Riccardo Tommasi

We perform a systematic study of integrated four-point functions of half-BPS operators in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$. These observables, defined by a certain spacetime integral of…

高能物理 - 理论 · 物理学 2023-02-15 Hynek Paul , Eric Perlmutter , Himanshu Raj

We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric $(2,0)$ $A_{N-1}$ and $D_N$ theories, which have no Lagrangian description, but in the large $N$ limit are holographically dual to weakly coupled…

高能物理 - 理论 · 物理学 2021-07-26 Luis F. Alday , Shai M. Chester , Himanshu Raj

Using the form of N=2 superconformal invariants we derive the explicit relation between the bottom and top components of the correlator of four stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms of an eighth…

高能物理 - 理论 · 物理学 2008-11-26 J. M. Drummond , L. Gallot , E. Sokatchev

We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level $k=2$, which in the large $N$ limit is holographically dual to weakly coupled M-theory on $AdS_4\times…

高能物理 - 理论 · 物理学 2022-02-16 Luis F. Alday , Shai M. Chester , Himanshu Raj
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