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We describe a universal element in the group algebra of symmetric groups, whose characters provides the counting of quarter and eighth BPS states at weak coupling in N=4 SYM, refined according to representations of the global symmetry…

High Energy Physics - Theory · Physics 2011-03-02 Jurgis Pasukonis , Sanjaye Ramgoolam

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

High Energy Physics - Theory · Physics 2018-11-14 Kazumi Okuyama

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

Extending our previous work on SU(3), we construct spherically symmetric BPS saturated regular configurations of N=4 SU(N) supersymmetric Yang-Mills theory preserving 1/4 supersymmetry, and investigate their features. We also give exact…

High Energy Physics - Theory · Physics 2010-11-19 Koji Hashimoto , Hiroyuki Hata , Naoki Sasakura

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…

High Energy Physics - Theory · Physics 2015-06-19 David Garner , Sanjaye Ramgoolam , Congkao Wen

We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4…

High Energy Physics - Theory · Physics 2010-04-05 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

In a $\mathcal{N}=2$ superconformal gauge theory with matter hypermultiplets transforming in the symmetric and anti-symmetric representations of SU($N$), we study the integrated correlators of two Coulomb-branch operators and two moment-map…

High Energy Physics - Theory · Physics 2024-01-17 M. Billo , M. Frau , A. Lerda , A. Pini

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 construct a one-parameter family of half-BPS solutions of type IIB supergravity using a consistent truncation to gauged five-dimensional supergravity. For small values of the parameter, the solution reduces to the linear perturbation of…

High Energy Physics - Theory · Physics 2024-01-03 Stefano Giusto , Alessandro Rosso

We consider operators in ${\cal N}=4$ super Yang-Mills theory dual to closed string states propagating on a class of LLM geometries. The LLM geometries we consider are specified by a boundary condition that is a set of black rings on the…

High Energy Physics - Theory · Physics 2018-07-04 Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

Efficient and powerful approaches to the computation of correlation functions involving determinant, sub-determinant and permanent operators, as well as traces, have recently been developed in the setting of ${\cal N}=4$ super Yang-Mills…

High Energy Physics - Theory · Physics 2019-10-30 Gaoli Chen , Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

We obtain all planar four-point correlators of half-BPS operators in $\mathcal{N}=4$ SYM up to five loops. The ansatz for the integrand is fixed partially by imposing light-cone OPE relations between different correlators. We then fix the…

High Energy Physics - Theory · Physics 2020-11-24 Dmitry Chicherin , Alessandro Georgoudis , Vasco Goncalves , Raul Pereira

We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector…

High Energy Physics - Theory · Physics 2009-11-11 Darius Sadri , M. M. Sheikh-Jabbari

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the…

High Energy Physics - Theory · Physics 2015-05-30 Romuald A. Janik , Andrzej Wereszczynski

We consider single trace operators of the form O_{m_1 ... m_n} = tr D_+^{m_1} F ... D_+^{m_n} F which are common to all gauge theories. We argue that, when all m_i are equal and large, they have a dual description as strings with cusps, or…

High Energy Physics - Theory · Physics 2011-09-29 Martin Kruczenski

We compute, to the lowest perturbative order in $SU(N)$ Yang-Mills theory, $n$-point correlators in the coordinate and momentum representation of the gauge-invariant twist-$2$ operators with maximal spin along the $p_+$ direction, both in…

High Energy Physics - Theory · Physics 2021-08-31 Marco Bochicchio , Mauro Papinutto , Francesco Scardino

We construct monopole operators for 3d Yang-Mills-matter theories and Chern-Simons-matter theories in canonical formalism. In this framework, monopole operators, although as the disorder operators, could be written in terms of the…

High Energy Physics - Theory · Physics 2022-01-11 Shan Hu

Operators in N=4 super Yang-Mills theory with an R-charge of O(N^2) are dual to backgrounds which are asymtotically AdS5xS5. In this article we develop efficient techniques that allow the computation of correlation functions in these…

High Energy Physics - Theory · Physics 2011-04-28 Robert de Mello Koch , Norman Ives , Michael Stephanou

We compute all 3-point functions of the ``universal'' scalar operators contained in the interacting, maximally supersymmetric CFTs at large N by using the AdS/CFT correspondence. These SCFTs are related to the low energy description of M5,…

High Energy Physics - Theory · Physics 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this work, we investigate its large $N$…

High Energy Physics - Theory · Physics 2022-11-30 Yasuyuki Hatsuda , Kazumi Okuyama
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