Results 1  10
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137
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 148 (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.
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.
Explicit formulas for Neumann coefficients in the planewave geometry, Phys
 Rev. D
, 2003
"... We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the threestring vertex for type IIB string theory in a planewave background, for any value of the mass parameter µ. The derivation involves constructing the inverse of a certain infinitedimensional ma ..."
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Cited by 48 (3 self)
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We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the threestring vertex for type IIB string theory in a planewave background, for any value of the mass parameter µ. The derivation involves constructing the inverse of a certain infinitedimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large µ and find unexpectedly simple results, which are valid to all orders in 1/µ. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified ’t Hooft coupling λ ′.
Dbranes in YangMills theory and emergent gauge symmetry,” JHEP 0503, 006 (2005) [arXiv:hepth/0411205
 D. Berenstein, “Large N BPS states and emergent quantum gravity,” JHEP
"... Fourdimensional supersymmetric SU(N) YangMills theory on a sphere has highly charged baryonlike states built from antisymmetric combinations of the adjoint scalars. We show that these states, which are equivalently described as holes in a free fermi sea of a reduced matrix model, are Dbranes. T ..."
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Cited by 41 (3 self)
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Fourdimensional supersymmetric SU(N) YangMills theory on a sphere has highly charged baryonlike states built from antisymmetric combinations of the adjoint scalars. We show that these states, which are equivalently described as holes in a free fermi sea of a reduced matrix model, are Dbranes. Their excitations are stringlike and effectively realize Dirichlet and Neumann boundary conditions in various directions. The low energy brane dynamics should realize an emergent gauge theory that is local on a new space. We show that the Gauss’ Law associated to this emergent gauge symmetry appears from combinatorial identities relating the stringy excitations. Although these excitations are not BPS, they can be nearBPS and we can hope to study them in perturbation theory. Accordingly, we show that the ChanPaton factors expected for strings propagating on multiple branes arise dynamically, allowing the emergent gauge symmetry to be nonAbelian.
Comments on superstring interactions in a planewave background
"... The three string vertex for Type IIB superstrings in a maximally supersymmetric planewave background is investigated. Specifically, we derive a factorization theorem for the Neumann coefficients that generalizes a flatspace result that was obtained some 20 years ago. The resulting formula is used ..."
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Cited by 39 (2 self)
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The three string vertex for Type IIB superstrings in a maximally supersymmetric planewave background is investigated. Specifically, we derive a factorization theorem for the Neumann coefficients that generalizes a flatspace result that was obtained some 20 years ago. The resulting formula is used to explore the leading large µ asymptotic behavior, which is relevant for comparison with dual It was recently discovered that Type IIB superstring theory admits a maximally supersymmetric planewave background [1]. Moreover, the string theory in this background is tractable, despite the fact that the background contains a nonvanishing RR field, in the lightcone GS formalism [2]. In that approach the worldsheet theory consists of free massive
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
ppwave string interactions from string bit model,” Phys
 Rev. D
"... We construct the string states O J p>J, O J1 ..."
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