On lightcone string field theory from Super Yang-Mills and holography

Abstract

We investigate the issues of holography and string interactions in the duality between SYM and the pp wave background. We argue that the Penrose diagram of the maximally supersymmetric pp-wave has a one dimensional boundary. This fact suggests that the holographic dual of the pp-wave can be described by a quantum mechanical system. We believe this quantum mechanical system should be formulated as a matrix model. From the SYM point of view this matrix model is built out of the lowest lying KK modes of the SYM theory on an $S^3$ compactification, and it relates to a wave which has been compactified along one of the null directions. String interactions are defined by finite time amplitudes on this matrix model. For closed strings they arise as in AdS-CFT, by free SYM diagrams. For open strings, they arise from the diagonalization of the hamiltonian to first order in perturbation theory. Estimates of the leading behaviour of amplitudes in SYM and string theory agree, although they are performed in very different regimes. Corrections are organized in powers of $1/(\mu {\alpha }^{\prime }{p}^{+}{)}^2$ and $g^2(\mu {\alpha }^{\prime }{p}^{+}{)}^4$.

40 pages, 17 figures, latex; v2: typos corrected, references added, Comments on extra diagrams added (page 30)

References in corpus (31)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Penrose limits and maximal supersymmetry
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Giant Gravitons in Conformal Field Theory
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• On Four-point Functions in the CFT/AdS Correspondence
• Superstring Interactions in a pp-wave Background
• Extremal Correlators in the AdS/CFT Correspondence
• PP Wave Limit and Enhanced Supersymmetry in Gauge Theories
• On Penrose Limits and Gauge Theories
• General Scalar Exchange in AdS_d+1
• Gauge Boson Exchange in $Ad{S}_{d+1}$
• Open Strings on Plane waves and their Yang-Mills duals
• Some Cubic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$ and Three-point Functions in SYM_4 at Large N
• D-Brane Solutions in pp-wave Background
• Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence
• Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background
• Scalar Quartic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$
• Superstring on PP-Wave Orbifold from Large-N Quiver Gauge Theory
• Open Strings in PP-Wave Background from Defect Conformal Field Theory
• Strings on Orbifolded PP-waves
• On the correspondence between gravity fields and CFT operators
• Penrose Limits of Orbifolds and Orientifolds
• PP-Waves and Holography
• Dilaton - fixed scalar correlators and AdS_5 x S^5 - SYM correspondence
• The effective action and quantum gauge transformations
• The AdS-CFT correspondence, consistent truncations and gauge invariance

Cited by in corpus (91)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Aspects of Semiclassical Strings in AdS${}_5$
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Superstring Interactions in a pp-wave Background
• Circular Semiclassical String Solutions on AdS_5 x S_5
• Deformations of N=4 SYM and integrable spin chain models
• Operator Mixing and the BMN Correspondence
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Superstring Interactions in a pp-wave Background II
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Bits, Matrices and 1/N
• Lectures on the Plane-Wave String/Gauge Theory Duality
• Shape and holography: studies of dual operators to giant gravitons
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Strings in the near plane wave background and AdS/CFT
• Black strings in asymptotically plane wave geometries
• Bit Strings from N=4 Gauge Theory
• TASI 2003 Lectures on AdS/CFT
• Plane Waves: To infinity and beyond!
• String interactions in gravitational wave backgrounds
• A Soluble String Theory of Hadrons
• Vector operators in the BMN correspondence
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• PP-wave String Interactions from String Bit Model
• Strings in plane wave backgrounds
• String Interactions in PP-Waves
• Modular Invariance of Strings on PP-Waves with RR-flux
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Large N classical dynamics of holographic matrix models
• A new recipe for causal completions
• Strings in RR Plane Wave Background at Finite Temperature
• Penrose Limits, Deformed pp-Waves and the String Duals of N=1 Large n Gauge Theory
• Penrose Limits and RG Flows
• Cubic Interactions in PP-Wave Light Cone String Field Theory
• On light-cone SFT contact terms in a plane wave
• On the Singularity Structure and Stability of Plane Waves
• Closed Timelike Curves and Holography in Compact Plane Waves
• On the existence of horizons in spacetimes with vanishing curvature invariants
• On the Hagedorn Behaviour of PP-wave Strings and N=4 SYM Theory at Finite R-Charge Density
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Hagedorn vs. Hawking-Page transition in string theory
• Spin bit models from non-planar N=4 SYM
• String Interactions in PP-wave from N = 4 Super Yang Mills
• String theory and the Classical Stability of Plane Waves
• An alternative formulation of light-cone string field theory on the plane wave
• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
• The causal boundary of wave-type spacetimes
• D-branes and BCFT in Hpp-wave backgrounds
• Quotients of AdS_{p+1} x S^q: causally well-behaved spaces and black holes
• Strings in Gravimagnetic Fields
• Causal inheritance in plane wave quotients
• Open+Closed String Field Theory From Gauge Fields
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Light-Cone String Field Theory in a Plane Wave Background
• Numerical tests of AdS/CFT at strong coupling
• Conformal fields in the pp-wave limit
• Scaling Violations in Yang-Mills Theories and Strings in AdS_5
• On the propagator of a scalar field in AdS x S and in its plane wave limit
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Strong Evidence In Favor OF The Existence Of S-Matrix For Strings In Plane Waves
• PP-wave and Non-supersymmetric Gauge Theory
• Solution to worldvolume action of D3 brane in pp-wave background
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• D-branes in PP-wave light cone string field theory
• On Horizons and Plane Waves
• Causal boundaries and holography on wave type spacetimes
• Plane waves and spacelike infinity
• Type II pp-wave Matrix Models from Point-like Gravitons
• AdS Holography in the Penrose Limit
• Open string - BMN operator correspondence in the weak coupling regime
• Causally pathological spacetimes are physically relevant
• Black holes and black strings in plane waves
• Matrix Models
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Spin bits at two loops
• Type IIB Colliding Plane Waves
• Towards S matrices on flat space and pp waves from SYM
• A Comment on Masses, Quantum Affine Symmetries and PP-Wave Backgrounds
• Non-planar spin bits beyond two loops
• Strings on Plane Waves, Super-Yang Mills in Four Dimensions, Quantum Groups at Roots of One
• Strings on Plane Waves and AdS x S
• On the dynamics of BMN operators of finite size and the model of string bits
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• On the relations between correlation functions in SYM/pp-wave correspondence
• Towards deriving the AdS/CFT correspondence
• Propagators and WKB-exactness in the plane wave limit of AdSxS
• Aspects of Supersymmetric Gauge Theory and String Theory
• Effective Potential in PP-Wave Geometry
• Plane Waves and Vacuum Interpolation
• Strings on AdS_3 x S^3 and the Plane-Wave Limit. Issues on PP-Wave/CFT Holography