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We extract from gauge theoretical calculations the matrix elements of the SYM dilatation operator. By the BMN correspondence this should coincide with the 3-string vertex of light cone string field theory in the pp-wave background. We find…

高能物理 - 理论 · 物理学 2009-11-07 Romuald A. Janik

We extend the study of the quantum mechanics of BMN gauge theory to the sector of three scalar impurities at one loop and all genus. The relevant matrix elements of the non-planar one loop dilatation operator are computed in the gauge…

高能物理 - 理论 · 物理学 2010-04-05 Petra Gutjahr , Jan Plefka

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

BMN operators are characterized by the fact that they have infinite R-charge and finite anomalous dimension in the BMN double scaling limit. Using this fact, we show that the BMN operators close under operator product expansion and form a…

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

It has recently been observed that IIB string theory in the pp-wave background can be used to calculate certain quantities, such as the dimensions of BMN operators, as exact functions of the effective coupling lambda' = lambda/J^2. These…

高能物理 - 理论 · 物理学 2009-11-07 Igor R. Klebanov , Marcus Spradlin , Anastasia Volovich

The PP-wave/SYM proposal in its original form emphasizes a duality relation between the masses of the string states and the anomalous dimensions of the corresponding BMN operators in gauge theory, the mass--dimension type duality. In this…

高能物理 - 理论 · 物理学 2009-11-10 Chong-Sun Chu , Valentin V. Khoze

We review how the identification of gauge theory operators representing string states in the pp-wave/BMN correspondence and their associated anomalous dimension reduces to the determination of the eigenvectors and the eigenvalues of a…

高能物理 - 理论 · 物理学 2007-05-23 C. Kristjansen

We study string interactions among string states with arbitrary impurities in the Type IIB plane wave background using string field theory. We reproduce all string amplitudes from gauge theory by computing matrix elements of the dilatation…

高能物理 - 理论 · 物理学 2010-04-05 Jaume Gomis , Sanefumi Moriyama , Jongwon Park

Motivated by recent disagreements in the context of AdS/CFT, we study the non-planar sector of the BMN correspondence. In particular, we reconsider the energy shift of states with two stringy excitations in light-cone string field theory…

高能物理 - 理论 · 物理学 2010-04-05 Petra Gutjahr , Ari Pankiewicz

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

We compute string field theory Hamiltonian matrix elements and compare them with matrix elements of the dilatation operator in gauge theory. We get precise agreement between the string field theory and gauge theory computations once the…

高能物理 - 理论 · 物理学 2010-04-05 Jaume Gomis , Sanefumi Moriyama , Jongwon Park

Employing the string bit formalism of hep-th/0209215, we identify the basis transformation that relates BMN operators in N=4 gauge theory to string states in the dual string field theory at finite g_2=J^2/N. In this basis, the supercharge…

高能物理 - 理论 · 物理学 2009-11-07 John Pearson , Marcus Spradlin , Diana Vaman , Herman Verlinde , Anastasia Volovich

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

We study the quantum mechanics of BMN operators with two scalar impurities and arbitrarily many traces, at one loop and all genus. We prove an operator identity which partially elucidates the structure of this quantum mechanics, provides…

高能物理 - 理论 · 物理学 2010-04-05 Marcus Spradlin , Anastasia Volovich

In type IIB light-cone superstring field theory, the cubic interaction has two pieces: a delta-functional overlap and an operator inserted at the interaction point. In this paper we extend our earlier work hep-th/0204146 by computing the…

高能物理 - 理论 · 物理学 2010-02-03 Marcus Spradlin , Anastasia Volovich

We rigorously derive an effective quantum mechanical Hamiltonian from N=4 gauge theory in the BMN limit. Its eigenvalues yield the exact one-loop anomalous dimensions of scalar two-impurity BMN operators for all genera. It is demonstrated…

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

We propose a simple string bit formalism for interacting strings in a plane wave background, in terms of supersymmetric quantum mechanics with a symmetric product target-space. We construct the light-cone supersymmetry generators and…

高能物理 - 理论 · 物理学 2009-11-07 Herman Verlinde

The pp-wave/SYM correspondence is an equivalence relation, H_{string}= Delta -J, between the Hamiltonian H_{string} of string field theory in the pp-wave background and the dilatation operator Delta in N=4 Super Yang-Mills in the double…

高能物理 - 理论 · 物理学 2009-11-10 George Georgiou , Valentin V. Khoze , Gabriele Travaglini

Recently, Berenstein et al. have proposed a duality between a sector of N=4 super-Yang-Mills theory with large R-charge J, and string theory in a pp-wave background. In the limit considered, the effective 't Hooft coupling has been argued…

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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