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477
Anomalous dimensions in gauge theories from rotating strings
 in AdS5 × S 5 ”, JHEP 0206, 038 (2002
"... Semiclassical soliton solutions for superstrings in AdS5 × S 5 are used to predict the dimension of gauge theory operators in N = 4 SU(N) SYM theory. We discuss the possible origin of scaling violations on the gauge theory side. ..."
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Semiclassical soliton solutions for superstrings in AdS5 × S 5 are used to predict the dimension of gauge theory operators in N = 4 SU(N) SYM theory. We discuss the possible origin of scaling violations on the gauge theory side.
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
Open strings in ppwave background from defect conformal field theory,” hepth/0203257
"... We consider open strings ending on a D5brane in the ppwave background, which is realized in the Penrose limit of AdS5×S 5 with an AdS4×S 2 brane. A complete list of gauge invariant operators in the defect conformal field theory is constructed AdS/CFT correspondence [1, 2, 3, 4] has lead to deep un ..."
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Cited by 59 (4 self)
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We consider open strings ending on a D5brane in the ppwave background, which is realized in the Penrose limit of AdS5×S 5 with an AdS4×S 2 brane. A complete list of gauge invariant operators in the defect conformal field theory is constructed AdS/CFT correspondence [1, 2, 3, 4] has lead to deep understandings of string theory and field theory. However, until recently, much of the progress in this direction has been limited to supergravity approximations due to the difficulty when one has RamondRamond background. Recently, it has been shown that string theory can be fully solved in the ppwave
Supergravity solutions for Dbranes in Hppwave backgrounds,” hepth/0205106
"... Abstract: We derive two families of supergravity solutions describing Dbranes in the maximally supersymmetric Hppwave background. The first family of solutions corresponds to quarterBPS Dbranes. These solutions are delocalised along certain directions transverse to the ppwave. The second family ..."
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Abstract: We derive two families of supergravity solutions describing Dbranes in the maximally supersymmetric Hppwave background. The first family of solutions corresponds to quarterBPS Dbranes. These solutions are delocalised along certain directions transverse to the ppwave. The second family corresponds to the nonsupersymmetric Dbranes. These solutions are fully localised. A peculiar feature of the nonsupersymmetric solutions is that gravity becomes repulsive close to the core of the Dbrane. Both families preserve the amount of supersymmetry predicted by the Dbrane probe/CFT analysis. All solutions are written in Brinkman coordinates. To construct these kind of solutions it is crucial to identify the coordinates in which the ansatz looks the simplest. We argue that the natural coordinates to get the supergravity description of the halfBPS branes are the Rosen coordinates. – 1 – Contents 1. Introduction and Summary
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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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
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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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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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.
Dp branes in ppwave background
 Nucl. Phys. B641
"... Dirichlet pbranes in the background of pp waves are constructed using the massive GreenSchwarz worldsheet action for open strings. These branes are localized at the origin and only for p = 7, 5, 3 preserve half the supersymmetries. The spectrum of the brane theory is analyzed and is found to be in ..."
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Cited by 44 (1 self)
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Dirichlet pbranes in the background of pp waves are constructed using the massive GreenSchwarz worldsheet action for open strings. These branes are localized at the origin and only for p = 7, 5, 3 preserve half the supersymmetries. The spectrum of the brane theory is analyzed and is found to be in agreement with the spectrum of the small fluctuations of the worldvolume super YangMills theory in this background. These branes are expected to correspond to objects that are nonperturbative in N in the dual gauge theory.
Maximally supersymmetric solutions of ten and elevendimensional supergravities
, 2002
"... We classify (up to local isometry) the maximally supersymmetric solutions of the eleven and tendimensional supergravity theories. We find that the AdS solutions, the Hppwaves and the flat space solutions exhaust them. ..."
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Cited by 43 (8 self)
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We classify (up to local isometry) the maximally supersymmetric solutions of the eleven and tendimensional supergravity theories. We find that the AdS solutions, the Hppwaves and the flat space solutions exhaust them.