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47
A new doublescaling limit of N = 4 super YangMills theory and PPwave strings, Nucl. Phys. B643
, 2002
"... The metric of a spacetime with a parallel plane (pp)wave can be obtained in a certain limit of the space AdS 5 ×S 5. According to the AdS/CFT correspondence, the holographic dual of superstring theory on that background should be the analogous limit of N = 4 supersymmetric YangMills theory. In thi ..."
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Cited by 146 (16 self)
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The metric of a spacetime with a parallel plane (pp)wave can be obtained in a certain limit of the space AdS 5 ×S 5. According to the AdS/CFT correspondence, the holographic dual of superstring theory on that background should be the analogous limit of N = 4 supersymmetric YangMills theory. In this paper we shall show that, contrary to widespread expectation, nonplanar diagrams survive this limiting procedure in the gauge theory. Using matrix model techniques as well as combinatorial reasoning it is demonstrated that a subset of diagrams of arbitrary genus survives and that a nontrivial double scaling limit may be defined. We exactly compute two and threepoint functions of chiral primaries in this limit. We also carefully study certain operators conjectured to correspond to string excitations on the ppwave background. We find nonplanar linear mixing of these proposed operators, requiring their redefinition. Finally, we show that the redefined operators receive nonplanar corrections to the planar oneloop anomalous dimension.
The complete oneloop dilatation operator of N = 4 super YangMills theory,” hepth/0307015
 N. Beisert and M. Staudacher, “The N
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Multiple D0branes in Weakly Curved Backgrounds
, 1999
"... We investigate further our recent proposal for the form of the matrix theory action in weak background fields. Using Seiberg’s scaling argument we relate the matrix theory action to a lowenergy system of many D0branes in an arbitrary but weak NSNS and RR background. The resulting multiple D0bra ..."
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Cited by 80 (2 self)
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We investigate further our recent proposal for the form of the matrix theory action in weak background fields. Using Seiberg’s scaling argument we relate the matrix theory action to a lowenergy system of many D0branes in an arbitrary but weak NSNS and RR background. The resulting multiple D0brane action agrees with the known BornInfeld action in the case of a single brane and gives an explicit formulation of many additional terms which appear in the multiple brane action. The linear coupling to an arbitrary background metric satisfies the nontrivial consistency condition suggested by Douglas that the masses of offdiagonal fields are given by the geodesic distance between the corresponding pair of D0branes. This agreement arises from combinatorial factors which depend upon the symmetrized trace ordering prescription found earlier for higher moments of the matrix theory stressenergy tensor. We study the effect of a weak background metric on two graviton interactions and find that our formalism agrees with the results expected from supergravity. The results presented here can be Tdualized to give explicit formulae for the operators in any Dbrane worldvolume
Holographic threepoint functions of semiclassical states
 JHEP 1009 (2010) 030 [arXiv:1008.1059 [hepth
"... We calculate the holographic threepoint functions in N = 4 superYangMills 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 three operators are semiclassical. ..."
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Cited by 72 (0 self)
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We calculate the holographic threepoint functions in N = 4 superYangMills 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 three operators are semiclassical.
Deformations of N = 4 SYM and integrable spin chain models
 Nucl. Phys. B 702
"... Abstract: Beginning with the planar limit of N = 4 SYM theory, we study planar diagrams for field theory deformations of N = 4 which are marginal at the free field theory level. We show that the requirement of integrability of the full one loop dilatation operator in the scalar sector, places very s ..."
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Cited by 51 (7 self)
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Abstract: Beginning with the planar limit of N = 4 SYM theory, we study planar diagrams for field theory deformations of N = 4 which are marginal at the free field theory level. We show that the requirement of integrability of the full one loop dilatation operator in the scalar sector, places very strong constraints on the field theory, so that the only soluble models correspond essentially to orbifolds of N = 4 SYM. For these, the associated spin chain model gets twisted boundary conditions that depend on the length of the chain, but which are still integrable. We also show that theories with integrable subsectors appear quite generically, and it is possible to engineer integrable subsectors to have some specific symmetry, however these do not generally lead to full integrability. We also try to construct a theory whose spin chain has quantum group symmetry SOq(6) as a deformation of the SO(6) Rsymmetry structure of N = 4 SYM. We show that it is not possible to obtain a spin chain with that symmetry from deformations of the scalar potential of N = 4 SYM. We also show that the natural context for these questions can be better phrased in terms of multimatrix quantum mechanics rather than in four dimensional field theories. Keywords: AdS/CFT, Integrable spin chains. – 1 – Contents
The Graviton in the AdSCFT correspondence: Solution via the Dirichlet boundary value problem
"... Using the AdSCFT correspondence we calculate the two point function of CFT energy momentum tensors. The AdS gravitons are considered by explicitely solving the Dirichlet boundary value problem for x0 = ǫ. We consider this treatment as complementary to exising work, with which we make contact. ..."
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Cited by 30 (3 self)
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Using the AdSCFT correspondence we calculate the two point function of CFT energy momentum tensors. The AdS gravitons are considered by explicitely solving the Dirichlet boundary value problem for x0 = ǫ. We consider this treatment as complementary to exising work, with which we make contact.
SYM description of pp wave string interactions: singlet sector and arbitrary impurities
"... 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 operator in a previously proposed basis of states. A direct ..."
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Cited by 29 (5 self)
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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 operator in a previously proposed basis of states. A direct correspondence is found between the string field theory and gauge theory Feynman diagrams.
Exact chiral ring of ads3/cft2
"... Preprint typeset in JHEP style HYPER VERSION hepth/yymmnnn ..."
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Cited by 22 (7 self)
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Preprint typeset in JHEP style HYPER VERSION hepth/yymmnnn
OPEs and 3point correlators of protected operators
 in N = 4 SYM,” Nucl. Phys. B 626
, 2002
"... Two and threepoint correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the npoint functions of protected operators for n ≤ 4 are invariant under U(1)Y and it is a ..."
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Cited by 21 (5 self)
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Two and threepoint correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the npoint functions of protected operators for n ≤ 4 are invariant under U(1)Y and it is argued that this implies that the two and threepoint functions are not renormalised. It is shown explicitly how unprotected operators can be accommodated in the analytic superspace formalism in a way which is fully compatible with analyticity. Some new There has been a resurgence of interest in fourdimensional superconformal field theories over the past few years largely due to the impact of the Maldacena conjecture [1] and this has led to the discovery of many new and interesting results. Most of these results have concerned properties of short (series C) operators and their correlation functions derived both directly in
ThreePoint Functions in N = 4 SYM Theory at OneLoop
, 2004
"... We analyze the oneloop correction to the threepoint function coefficient of scalar primary operators in N = 4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that contribute depends on the choice of renormalization scheme. In t ..."
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We analyze the oneloop correction to the threepoint function coefficient of scalar primary operators in N = 4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that contribute depends on the choice of renormalization scheme. In the planar limit, explicit expressions for the correction are interpreted in terms of the hamiltonians of the associated integrable closed and open spin chains. This suggests that at least at oneloop, the planar conformal field theory is integrable with the anomalous dimensions and OPE coefficients both obtainable from integrable spin chain calculations. We also connect the planar results with similar structures found in closed string field theory. April