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The goal of this paper is to study the BMN correspondence in the fermionic sector. On the field theory side, we compute matrix elements of the dilatation operator in N=4 Super Yang-Mills for BMN operators containing two fermion impurities.…

高能物理 - 理论 · 物理学 2009-11-10 George Georgiou , Gabriele Travaglini

We consider a BMN operator with one scalar, phi, and one vector, D_{m}Z, impurity field and compute the anomalous dimension both at planar and torus levels. This "mixed" operator corresponds to a string state with two creation operators…

高能物理 - 理论 · 物理学 2009-11-07 Umut Gursoy

The holographic principle in the pp-wave limit proposed in our previous works is further confirmed by studying impurity non-preserving processes which contain a fermionic BMN operator with one scalar and one fermion impurities. We show that…

高能物理 - 理论 · 物理学 2008-11-26 Suguru Dobashi

Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate that non-extremal four-point functions of chiral primary fields are ill-defined in that…

高能物理 - 理论 · 物理学 2011-03-23 N. Beisert , C. Kristjansen , J. Plefka , G. W. Semenoff , M. Staudacher

We report on a systematic perturbative study of three-point functions in planar SU(N) N=4 super Yang-Mills theory at the one-loop level involving scalar field operators up to length five. For this we have computed a sample of 40 structure…

高能物理 - 理论 · 物理学 2015-06-03 George Georgiou , Valeria Gili , Andre Grossardt , Jan Plefka

We show how to determine the lowest order mixing of all scalar with two-fermion two impurity BMN operators in the antisymmetric representation of SO(4). Differentiation on harmonic superspace allows one to derive two-loop anomalous…

高能物理 - 理论 · 物理学 2009-11-10 Burkhard Eden

This paper concerns instanton contributions to two-point correlation functions of BMN operators in N=4 supersymmetric Yang-Mills that vanish in planar perturbation theory. Two-point functions of operators with even numbers of fermionic…

高能物理 - 理论 · 物理学 2008-11-26 Michael B. Green , Stefano Kovacs , Aninda Sinha

We show that the BMN operators arise from the expansion of the Wilson loop in four-dimensional N=4 super Yang-Mills theory. The Wilson loop we consider is obtained from ``dimensional reduction'' of ten-dimensional N=1 super Yang-Mills…

高能物理 - 理论 · 物理学 2009-11-11 Akitsugu Miwa

We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su$(2|3)$ sector of ${\cal N}=4$ super Yang-Mills theory, have a bare dimension $\sim N$ and are a linear…

高能物理 - 理论 · 物理学 2020-12-02 Robert de Mello Koch , Jia-Hui Huang , Minkyoo Kim , Hendrik J. R. Van Zyl

In the context of the Penrose/BMN limit of the AdS/CFT correspondence, we consider four-impurity BMN operators in Yang-Mills theory, and demonstrate explicitly their correspondence to four-oscillator states in string theory. Using the…

高能物理 - 理论 · 物理学 2014-11-18 P. Matlock , K. S. Viswanathan

In this note we update the discussion of the BMN correspondence and string interactions in hep-th/0205089 to incorporate the effects of operator mixing. We diagonalize the matrix of two point functions of single and double trace operators,…

高能物理 - 理论 · 物理学 2009-11-07 Neil R. Constable , Daniel Z. Freedman , Matthew Headrick , Shiraz Minwalla

Recent developments in the determination of the planar S-matrix of N=4 Super Yang-Mills are closely related to its Yangian symmetry. Here we provide evidence for a yet unobserved additional symmetry: the Yangian level-one helicity operator.

高能物理 - 理论 · 物理学 2011-06-09 Niklas Beisert , Burkhard U. W. Schwab

We examine the double-trace spectrum of $\mathcal{N} = 4$ super Yang-Mills theory in the supergravity limit. At large $N$ double-trace operators exhibit degeneracy. By considering free-field and tree-level supergravity contributions to…

高能物理 - 理论 · 物理学 2018-04-04 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We study the three-point functions between two BPS and one non-BPS local gauge invariant operators in N=4 Super Yang-Mills theory. In particular we show, in explicit 1-loop examples, that the operator mixing discussed in arXiv:0810.0499…

高能物理 - 理论 · 物理学 2014-11-20 George Georgiou , Valeria L. Gili , Rodolfo Russo

The BCFW recursion relation in $\mathcal{N}=4$ super-Yang-Mills theory is solved using Yang-Baxter $R$-operators in the NMHV sector. Explicit expressions for $\mathcal{R}$-invariants are obtained in terms of the chains of $R$-operators…

高能物理 - 理论 · 物理学 2019-12-03 V. K. Kozin

We study operator mixing, due to planar one-loop corrections, for composite operators in D=4 supersymmetric theories. We present some N=1,2 Yang-Mills and Wess-Zumino models, in which the planar one-loop anomalous dimension matrix in the…

高能物理 - 理论 · 物理学 2010-04-05 Xiao-Jun Wang , Yong-Shi Wu

Yangian symmetry of amplitudes in $\mathcal{N}=4$ super Yang-Mills theory is formulated in terms of eigenvalue relations for monodromy matrix operators. The Quantum Inverse Scattering Method provides the appropriate tools to treat the…

高能物理 - 理论 · 物理学 2015-06-17 D. Chicherin , S. Derkachov , R. Kirschner

We compute the anomalous dimensions of BMN operators with two covariant derivative impurities at the planar level up to first order in the effective coupling lambda'. The result equals those for two scalar impurities as well as for mixed…

高能物理 - 理论 · 物理学 2010-04-15 Thomas Klose

We study the superconformal index of the N=4 super-Yang-Milles theory on S^3 X S^1 with the half BPS superconformal surface operator (defect) inserted at the great circle of S^3. The half BPS superconformal surface operators preserve the…

高能物理 - 理论 · 物理学 2015-05-28 Yu Nakayama

Recently it has been proposed that the coefficient of the three-point function of the BMN operators in N=4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point…

高能物理 - 理论 · 物理学 2014-11-18 Chong-Sun Chu , Valentin V. Khoze , Gabriele Travaglini
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