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We study the 3-point functions of gauge-invariant scalar operators in four dimensional $\mathcal{N}=2$ superconformal quiver theories using supersymmetric localization in the planar limit of a large number of colors. By exploiting a web of…

High Energy Physics - Theory · Physics 2023-02-08 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We analyse the general structure of the three-point functions involving conserved bosonic and fermionic higher-spin currents in three-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation…

High Energy Physics - Theory · Physics 2023-02-14 Evgeny I. Buchbinder , Benjamin J. Stone

We study four-point correlation functions of 1/2-BPS operators in N=4 SYM which are dual to massive KK modes in AdS_5 supergravity. On the field theory side, the procedure of inserting the SYM action yields partial non-renormalisation of…

High Energy Physics - Theory · Physics 2010-04-05 G. Arutyunov , F. A. Dolan , H. Osborn , E. Sokatchev

Chern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N. In this paper, we compute the scaling dimensions of…

High Energy Physics - Theory · Physics 2017-09-21 S. Giombi , V. Gurucharan , V. Kirilin , S. Prakash , E. Skvortsov

We give the derivation of the previously announced analytic expression for the correlation function of three heavy non-BPS operators in N=4 super-Yang-Mills theory at weak coupling. The three operators belong to three different su(2)…

High Energy Physics - Theory · Physics 2015-06-05 Ivan Kostov

We calculate the holographic three-point functions in N = 4 super-Yang-Mills theory in the case when two of the operators are semiclassical and one is dual to a supergravity mode. We further discuss the transition to the regime when all…

High Energy Physics - Theory · Physics 2014-11-21 K. Zarembo

We consider correlation functions of two maximal giant gravitons and two light $\frac{1}{2}$-BPS operators in 4d $\mathcal{N}=4$ SYM. Viewed as two-point correlators in the presence of a zero dimensional defect, they can be completely fixed…

High Energy Physics - Theory · Physics 2025-08-12 Junding Chen , Yunfeng Jiang , Xinan Zhou

We study structure constants of local operators inserted on the Wilson loop in ${\cal N}=4$ super Yang-Mills theory. We compute the structure constants in the SU(2) sector at tree level using the correspondence between operators on the…

High Energy Physics - Theory · Physics 2018-12-27 Minkyoo Kim , Naoki Kiryu

We calculate planar, tree-level, non-extremal three-point functions of operators belonging to the SU(2) x SU(2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the…

High Energy Physics - Theory · Physics 2013-02-04 Agnese Bissi , Charlotte Kristjansen , Ara Martirosyan , Marta Orselli

We present new strong-coupling series for O(N) spin models in three dimensions, on the cubic and diamond lattices. We analyze these series to investigate the two-point Green's function G(x) in the critical region of the symmetric phase.…

High Energy Physics - Lattice · Physics 2009-10-28 Massimo Campostrini , Paolo Rossi , Andrea Pelissetto , Ettore Vicari

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

In the present work we considered Galilean conformal algebras (GCA), which arises as a contraction relativistic conformal algebras ($x_i\rightarrow \epsilon x_i$, $t\rightarrow t$, $\epsilon \rightarrow 0$). We can use the Galilean…

High Energy Physics - Theory · Physics 2015-05-27 M. R. Setare , V. Kamali

We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical…

High Energy Physics - Theory · Physics 2008-11-26 S. S. Gubser , I. R. Klebanov , A. M. Polyakov

In a four-dimensional $\mathcal{N}=2$ superconformal quiver theory with gauge group $\mathrm{SU}(N)\times\mathrm{SU}(N)$ and bi-fundamental matter, we analytically obtain the exact strong-coupling behavior of the normalized 3-point…

High Energy Physics - Theory · Physics 2022-07-21 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We consider four-point functions of protected, double- and single-trace operators in the large central charge limit. We use superconformal symmetry to disentangle the contribution of protected operators in the partial wave decomposition.…

High Energy Physics - Theory · Physics 2024-12-30 Agnese Bissi , Giulia Fardelli , Andrea Manenti

We study extremal correlation functions of chiral primary operators in the large-N SU(N) ${\cal N} = 2$ superconformal QCD theory and present new results based on supersymmetric localization. We discuss extensively the basis-independent…

High Energy Physics - Theory · Physics 2017-03-08 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas , Gideon Vos

Lorentzian continuation of the Sine-Liouville model describes non-homogeneous rolling closed string tachyon. Via T-duality, this relates to the gauged $H_+^3$ Wess-Zumino-Witten model at subcritical level. This model is exactly solvable. We…

High Energy Physics - Theory · Physics 2017-09-13 Gaston Giribet , Laura Rado

We consider the ratio of the correlation function of an hexagon light-like Wilson loop with one local operator over the expectation value of the Wilson loop within the strong-coupling regime of the AdS/CFT correspondence. We choose the…

High Energy Physics - Theory · Physics 2013-09-30 Rafael Hernandez , Juan Miguel Nieto

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

Consistency relations, which relate the squeezed limit of an (N+1)-point correlation function to an N-point function, are non-perturbative symmetry statements that hold even if the associated high momentum modes are deep in the nonlinear…

High Energy Physics - Theory · Physics 2015-10-07 Bart Horn , Lam Hui , Xiao Xiao