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The complete oneloop dilatation operator of N = 4 super YangMills theory,” hepth/0307015
 N. Beisert and M. Staudacher, “The N
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Superstring interactions in a ppwave background
 PHYS. REV. D 66, 086004
, 2002
"... We construct lightcone gauge superstring field theory in a ppwave background with RamondRamond flux. The leading term in the interaction Hamiltonian is determined up to an overall function of p + by requiring closure of the ppwave superalgebra. The bosonic and fermionic Neumann matrices for this ..."
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Cited by 137 (6 self)
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We construct lightcone gauge superstring field theory in a ppwave background with RamondRamond flux. The leading term in the interaction Hamiltonian is determined up to an overall function of p + by requiring closure of the ppwave superalgebra. The bosonic and fermionic Neumann matrices for this cubic vertex are derived, as is the interaction
Large N BPS states and emergent quantum gravity
, 2006
"... This paper provides a heuristic derivation of how classical gravitational physics in the AdS/CFT correspondence appears from the strong dynamics of the N = 4 SYM theory in a systematic way. We do this in a minisuperspace approximation by studying 1/8 BPS configurations. We can show that our descri ..."
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Cited by 97 (14 self)
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This paper provides a heuristic derivation of how classical gravitational physics in the AdS/CFT correspondence appears from the strong dynamics of the N = 4 SYM theory in a systematic way. We do this in a minisuperspace approximation by studying 1/8 BPS configurations. We can show that our description matches the semiclassical physics of 1/8 BPS states in supergravity. We also provide a heuristic description of how massive strings appear in the geometry, and how at strong ’t Hooft coupling they become local on the S 5 suggesting that they can be realized as a sigma model on a weakly curved background. We show that the dynamics of 1/8 BPS dynamics of N = 4 SYM on a round S 3 can be reduced to that of a matrix model for commuting matrices. Including measure factors, we show that this effective dynamics is related to bosons living on a six dimensional phase space with repulsive interactions. Because of these interactions, we can argue that on the ground state the bosons assemble themselves on a spherical shell in the shape of a round five sphere. This sphere will be identified with the S 5 in the AdS dual geometry. To do this, we first define a precise way to coarse grain the dynamics. We use half BPS configurations as a toy model for this coarse graining, and we can reproduce the droplet
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.
New Effects in Gauge Theory from ppwave Superstrings,” hepth/0206221
"... It has recently been observed that IIB string theory in the ppwave background can be used to calculate certain quantities, such as the dimensions of BMN operators, as exact functions of the effective coupling λ ′ = λ/J2. These functions interpolate smoothly between the weak and strong effective co ..."
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Cited by 60 (7 self)
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It has recently been observed that IIB string theory in the ppwave background can be used to calculate certain quantities, such as the dimensions of BMN operators, as exact functions of the effective coupling λ ′ = λ/J2. These functions interpolate smoothly between the weak and strong effective coupling regimes of N = 4 SYM theory at large R charge J. In this paper we use the ppwave superstring field theory of hepth/0204146 to study more complicated observables. The expansion of the threestring interaction vertex suggests more complicated interpolating functions which in general give rise to fractional powers of λ ′ in physical observables at weak effective coupling. Contents
Lectures on the Plane–Wave String/Gauge Theory Duality
, 2003
"... These lectures give an introduction to the novel duality relating type IIB string theory in a maximally supersymmetric planewave background to N = 4, d = 4, U(N) Super YangMills theory in a particular large N and large Rcharge limit due to Berenstein, Maldacena and Nastase. In the first part of ..."
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Cited by 52 (1 self)
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These lectures give an introduction to the novel duality relating type IIB string theory in a maximally supersymmetric planewave background to N = 4, d = 4, U(N) Super YangMills theory in a particular large N and large Rcharge limit due to Berenstein, Maldacena and Nastase. In the first part of these lectures the duality is derived from the AdS/CFT correspondence by taking a Penrose limit of the AdS5 × S5 geometry and studying the corresponding doublescaling limit on the gauge theory side. The resulting free planewave superstring is then quantized in lightcone gauge. On the gauge theory side of the correspondence the composite Super YangMills operators dual to string excitations are identified, and it is shown how the string spectrum can be mapped to the planar scaling dimensions of these operators. In the second part of these lectures we study the correspondence at the interacting respectively nonplanar level. On the gauge theory side it is demonstrated that the large N large Rcharge limit in question preserves contributions from Feynman graphs of all genera through the emergence of a new genus counting parameter – in agreement with the string genus expansion for nonzero gs. Effective quantum mechanical tools to compute higher genus contributions to the scaling dimensions of composite operators are developed and explicitly applied in a genus one computation. We then turn to the interacting string theory side and give an elementary introduction into lightcone superstring field theory in a planewave background and point out how the genus one prediction from gauge theory can be reproduced. Finally, we summarize the present status of the planewave string/gauge theory duality.
More comments on superstring interactions in the ppwave background”, JHEP 0209
, 2002
"... We reconsider lightcone superstring field theory on the maximally supersymmetric ppwave background. We find that the results for the fermionic Neumann matrices given so far in the literature are incorrect and verify our expressions by relating them to the bosonic Neumann matrices and proving sever ..."
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Cited by 51 (4 self)
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We reconsider lightcone superstring field theory on the maximally supersymmetric ppwave background. We find that the results for the fermionic Neumann matrices given so far in the literature are incorrect and verify our expressions by relating them to the bosonic Neumann matrices and proving several nontrivial consistency conditions among them, as for example the generalization of a flat space factorization theorem for the bosonic Neumann matrices. We also study the bosonic and fermionic constituents of the prefactor and point out a subtlety in the relation between continuum and oscillator As is well known by now, besides flat space and AdS5 × S 5 type IIB superstring theory admits an additional solution preserving all 32 supersymmetries, the so called maximally supersymmetric ppwave background [1]. In contrast to flat space and AdS5 × S 5 which are related being the asymptotic and nearhorizon geometry of the D3brane respectively, the maximally supersymmetric ppwave solution
ppwave lightcone superstring field theory
 Nucl. Phys. B 657
"... We construct the cubic interaction vertex and dynamically generated supercharges in lightcone superstring field theory in the ppwave background. We show that these satisfy the ppwave superalgebra at first order in string coupling. The cubic interaction vertex and dynamical supercharges presented ..."
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Cited by 50 (5 self)
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We construct the cubic interaction vertex and dynamically generated supercharges in lightcone superstring field theory in the ppwave background. We show that these satisfy the ppwave superalgebra at first order in string coupling. The cubic interaction vertex and dynamical supercharges presented here differ from the expressions previously given in the literature. Using this vertex we compute various string theory threepoint functions and comment on their relation to gauge theory in the BMN limit.
A Note On Cubic Interactions in PPWave Light Cone String Field Theory
"... We use the supergravity modes to clarify the role of the prefactor in the lightcone superstring field theory on PPwave background. We verify some of the proposals of the recent paper hepth/0205089 and give further evidence for the correspondence between N = 4 SYM gauge theory and string theory on ..."
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Cited by 39 (5 self)
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We use the supergravity modes to clarify the role of the prefactor in the lightcone superstring field theory on PPwave background. We verify some of the proposals of the recent paper hepth/0205089 and give further evidence for the correspondence between N = 4 SYM gauge theory and string theory on PPwave. We also consider energypreserving processes and find that they give vanishing Recently, Berenstein, Maldacena, and Nastase [1] came up with a very exciting proposal where we can test AdS/CFT correspondence beyond the supergravity approximation. It is based on the discovery [2, 3] that GreenSchwarz strings on ppwave background are exactly solvable in the lightcone gauge, and the observation [4, 5] that the ppwave background can be obtained