Superstring Interactions in a pp-wave Background

Abstract

We construct light-cone gauge superstring field theory in a pp-wave background with Ramond-Ramond flux. The leading term in the interaction Hamiltonian is determined up to an overall function of $p^{+}$ by requiring closure of the pp-wave superalgebra. The bosonic and fermionic Neumann matrices for this cubic vertex are derived, as is the interaction point operator. We comment on the development of a $1/\mu p^{+}$ expansion for these results.

35 pages, 3 figures. v3:typos fixed, a couple of helpful remarks added (including one un-commented out from the v1 source file)

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• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• Matrix Perturbation Theory For M-theory On a PP-Wave
• PP-wave string interactions from perturbative Yang-Mills theory
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• Operator Mixing and the BMN Correspondence
• On lightcone string field theory from Super Yang-Mills and holography
• On Penrose Limits and Gauge Theories
• Penrose Limit of N=1 Gauge Theories
• Boundary States for GS superstrings in an Hpp wave background
• (Twisted) Toroidal Compactification of pp-Waves
• Bits, Matrices and 1/N
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• Open Strings on Plane waves and their Yang-Mills duals
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Noncommutative D-brane and Open String in pp-wave Background with B-field
• The PP-Wave Limits of Orbifolded AdS_5x S^5
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• Penrose Limits, PP-Waves and Deformed M2-branes
• Tracing the String: BMN correspondence at Finite J^2/N
• From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra
• Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background
• Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave
• 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
• Penrose Limits of Orbifolds and Orientifolds
• PP-Waves and Holography
• Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background
• Supersymmetric Branes in the Matrix Model of PP Wave Background
• Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
• String Interactions in PP-Waves
• Penrose Limits of Non-standard Brane Intersections

Cited by in corpus (133)

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• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
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• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• Aspects of Semiclassical Strings in AdS${}_5$
• Operators with large R charge in N=4 Yang-Mills theory
• Tailoring Three-Point Functions and Integrability
• Circular Semiclassical String Solutions on AdS_5 x S_5
• Operator Mixing and the BMN Correspondence
• On lightcone string field theory from Super Yang-Mills and holography
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• The Plane-Wave/Super Yang-Mills Duality
• Superstring Interactions in a pp-wave Background II
• BMN Gauge Theory as a Quantum Mechanical System
• Bits, Matrices and 1/N
• Lectures on the Plane-Wave String/Gauge Theory Duality
• Three-Point Functions in N=4 SYM Theory at One-Loop
• More comments on superstring interactions in the pp-wave background
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Strings in the near plane wave background and AdS/CFT
• Supersymmetric Godel Universes in String Theory
• A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
• BMN Operators and Superconformal Symmetry
• Tracing the String: BMN correspondence at Finite J^2/N
• Bit Strings from N=4 Gauge Theory
• Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave
• TASI 2003 Lectures on AdS/CFT
• String interactions in gravitational wave backgrounds
• HHL correlators, orbit averaging and form factors
• Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
• String field theory vertex from integrability
• Vector operators in the BMN correspondence
• Open strings in the plane wave background II: Superalgebras and Spectra
• PP-wave String Interactions from String Bit Model
• Modular Invariance of Strings on PP-Waves with RR-flux
• String Interactions in PP-Waves
• Strings in plane wave backgrounds
• A Secret Symmetry of the AdS/CFT S-matrix
• Open Spinning Strings
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• Cubic Interactions in PP-Wave Light Cone String Field Theory
• On light-cone SFT contact terms in a plane wave
• Splitting spinning strings in AdS/CFT
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• On the plane-wave cubic vertex
• String Interactions in PP-wave from N = 4 Super Yang Mills
• Gauge theory description of compactified pp-waves
• The superstring Hagedorn temperature in a pp-wave background
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
• Correlators, Probabilities and Topologies in N=4 SYM
• An alternative formulation of light-cone string field theory on the plane wave
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• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
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• Note on Plane Wave Quantum Mechanics
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• Open+Closed String Field Theory From Gauge Fields
• Decoupling of Degenerate Positive-norm States in Witten's String Field Theory
• String Bits and the Spin Vertex
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• Covariant Description of D-branes in IIA Plane-Wave Background
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• Holographic cubic vertex in the pp-wave
• Operator mixing and three-point functions in N=4 SYM
• Light-Cone String Field Theory in a Plane Wave Background
• 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
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• Solution to worldvolume action of D3 brane in pp-wave background
• PP-wave and Non-supersymmetric Gauge Theory
• Superstring in a pp-wave background at finite temperature - TFD approach
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• A Note on Cubic Interactions in PP-Wave Light Cone String Field Theory
• New tests of the pp-wave correspondence
• D-branes in PP-wave light cone string field theory
• String interactions and discrete symmetries of the pp-wave background
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• Non-perturbative contributions to the plane-wave string mass matrix
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• AdS/CFT v.s. String Loops
• Superstrings and D-branes in A Plane Wave
• A note on string interaction on the pp-wave background
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• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• AdS Holography in the Penrose Limit
• Summing planar diagrams
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• On the Uniqueness of Plane-wave String Field Theory
• Holography at string field theory level: Conformal three point functions of BMN operators
• Decay widths of three-impurity states in the BMN correspondence
• Predictions for PP-wave string amplitudes from perturbative SYM
• Chiral primary cubic interactions from pp-wave supergravity
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• Holography in the Large J Limit of AdS/CFT Correspondence and Its Applications
• The String Light Cone in the pp-wave Background
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Decay Modes of Unstable Strings in Plane-Wave String Field Theory
• Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
• Mixing of the RR and NSNS sectors in the BMN limit
• String theory on the Schrodinger pp-wave background
• Towards S matrices on flat space and pp waves from SYM
• Planar diagrams in light-cone gauge
• Note on S-channel factorization in multitrace Berenstein-Maldacena-Nastase correlators
• Giant Gravitons on the Schrodinger pp-wave geometry
• Strings on Plane Waves, Super-Yang Mills in Four Dimensions, Quantum Groups at Roots of One
• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence
• The Three-String Vertex for a Plane-Wave Background
• A Penrose limit for type IIB $Ad{S}_6$ solutions
• Strings on Plane Waves and AdS x S
• Light-cone Superstring Field Theory, pp-wave background and integrability properties
• Loop Equation in D=4, N=4 SYM and String Field Equation on AdS_5 \times S^5
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• Local Commutativity and Causality in Interacting PP-wave String Field Theory
• A note on the uniqueness of the Neumann matrices in the plane-wave background
• Free BMN Correlators With More Stringy Modes
• On the relations between correlation functions in SYM/pp-wave correspondence
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• An Algebraic Model for the su(2|2) Light-Cone String Field Theory
• Strings and branes in plane waves
• Aspects of Supersymmetric Gauge Theory and String Theory
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
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