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In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a…

高能物理 - 理论 · 物理学 2011-10-06 Plamen Bozhilov

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

The planar integrability of $\mathcal{N}=4$ super-Yang-Mills (SYM) is the cornerstone for numerous exact observables. We show that the large charge sector of the ${\rm SU}(2)$ $\mathcal{N}=4$ SYM provides another interesting solvable corner…

高能物理 - 理论 · 物理学 2023-06-02 João Caetano , Shota Komatsu , Yifan Wang

The coupling constant dependence of correlation functions of BPS operators in N=4 Yang-Mills can be expressed in terms of integrated correlation functions. We approximate these integrated correlators by using a truncated OPE expansion. This…

高能物理 - 理论 · 物理学 2009-11-10 Anirban Basu , Michael B. Green , Savdeep Sethi

Large $N$ factorization ensures that, for low-dimension gauge-invariant operators in the half-BPS sector of ${\cal N}=4$ SYM, products of holomorphic traces have vanishing correlators with single anti-holomorphic traces. This vanishing is…

高能物理 - 理论 · 物理学 2015-06-19 David Garner , Sanjaye Ramgoolam , Congkao Wen

We calculate the four-point correlation function of half-BPS operators with weights 2, 3, 3, 4 in N=4 SYM to two-loop order. The OPE of this correlation function provides a nontrivial check of the integrability conjecture for a class of…

高能物理 - 理论 · 物理学 2015-06-22 Dmitry Chicherin , Emery Sokatchev

We consider strong 't Hooft coupling expansion in special four-dimensional $\mathcal N=2$ superconformal models that are planar-equivalent to $\mathcal N=4$ super Yang-Mills theory. Various observables in these models that admit…

高能物理 - 理论 · 物理学 2023-02-21 M. Beccaria , G. P. Korchemsky , A. A. Tseytlin

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert…

高能物理 - 理论 · 物理学 2023-07-05 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

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…

高能物理 - 理论 · 物理学 2020-01-28 J. M. Drummond , D. Nandan , H. Paul , K. S. Rigatos

An explicit analytic formula is presented that computes the conformal (super-)block decomposition of any free scalar or half-BPS diagram in 1d, 2d or 4d CFTs, with various supersymmetries, including none. We prove our formula by exploiting…

高能物理 - 理论 · 物理学 2025-02-21 F. Aprile , J. M. Drummond , P. J. Heslop , M. Santagata

We study multipoint correlators of protected scalars on the Maldacena-Wilson line in $\mathcal{N}=4$ SYM. Working at weak coupling in the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators…

高能物理 - 理论 · 物理学 2023-01-24 Julien Barrat , Pedro Liendo , Giulia Peveri , Jan Plefka

We explain how the 't Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N=4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One…

高能物理 - 理论 · 物理学 2019-09-18 Till Bargheer , Frank Coronado , Pedro Vieira

We study the four-point correlator of 1/2-BPS operators of weight 4 in N=4 SYM, which are dual to massive KK modes in AdS_5 supergravity. General field-theoretic arguments lead to a partially non-renormalized form of the amplitude that…

高能物理 - 理论 · 物理学 2010-04-05 G. Arutyunov , E. Sokatchev

We consider correlators of N=4 super Yang Mills of the form A ~ < O_1 O_2 O*_1 O*_2 >, where the operators O_1 and O_2 are scalar primaries. In particular, we analyze this correlator in the planar limit and in a Lorentzian regime…

高能物理 - 理论 · 物理学 2014-11-18 Lorenzo Cornalba , Miguel S. Costa , Joao Penedones

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity…

高能物理 - 理论 · 物理学 2016-08-24 Dmitry Chicherin , James Drummond , Paul Heslop , Emery Sokatchev

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

高能物理 - 理论 · 物理学 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

We study the correlators of bulk and defect half-BPS operators in $\mathcal{N}=4$ Super Yang-Mills theory with a Maldacena-Wilson line defect, focusing on the case involving one bulk and two defect local operators. We analyze the…

高能物理 - 理论 · 物理学 2026-01-15 Daniele Artico , Julien Barrat , Yingxuan Xu

We use hexagonalization to compute four-point correlation functions of long BPS operators with special R-charge polarizations. We perform the computation at weak coupling and show that at any loop order our correlators can be expressed in…

高能物理 - 理论 · 物理学 2019-01-30 Frank Coronado

We discuss correlators of light fields in heavy states in 3d gravity and holographic 2d CFTs. In the bulk, the propagator of free fields in AdS backgrounds containing a conical defect or a BTZ black hole can be obtained by solving the wave…

高能物理 - 理论 · 物理学 2024-07-30 David Grabovsky

Recently exact agreement has been found between three-point correlators of chiral operators computed in string theory on AdS_3 x S^3 x T^4 with NS-NS flux and those computed in the symmetric orbifold CFT. However, it has also been shown…

高能物理 - 理论 · 物理学 2009-06-11 Marika Taylor