Noncommutative D-brane and Open String in pp-wave Background with B-field

Abstract

The open string ending on a D-brane with a constant B-field in a pp-wave Ramond-Ramond background is exactly solvable. The theory is controlled by three dimensionful parameters: alpha', the mass parameter (RR background times the lightcone momentum) and the B-field. We quantize the open string theory and determine the full noncommutative structure. In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters. The lightcone Hamiltionian is obtained, and as a consequence of the nontrivial commutation relations of the theory, new features of the spectrum are noted. Various scaling limits of the string results are considered. Physical implications are discussed.

20 pages. v2: typos corrected, references fixed. more comments on p.2, p.9 and p.16 v3: version to appear in NPB

References in corpus (16)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Penrose limits and maximal supersymmetry
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• A new maximally supersymmetric background of IIB superstring theory
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
• PP Wave Limit and Enhanced Supersymmetry in Gauge Theories
• On Penrose Limits and Gauge Theories
• Boundary States for GS superstrings in an Hpp wave background
• The PP-Wave Limits of Orbifolded AdS_5x S^5
• Penrose Limits, PP-Waves and Deformed M2-branes
• Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background
• Superstring on PP-Wave Orbifold from Large-N Quiver Gauge Theory
• Strings on Orbifolded PP-waves
• Penrose Limits of Orbifolds and Orientifolds
• Randall-Sundrum Zero Mode as a Penrose Limit

Cited by in corpus (59)

• PP-wave string interactions from perturbative Yang-Mills theory
• Operators with large R charge in N=4 Yang-Mills theory
• Superstring Interactions in a pp-wave Background
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Open Strings from N=4 Super Yang-Mills
• Open Strings on Plane waves and their Yang-Mills duals
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• Open Strings in PP-Wave Background from Defect Conformal Field Theory
• Open strings in the plane wave background I: Quantization and symmetries
• PP-Waves and Holography
• Supersymmetric Branes in the Matrix Model of PP Wave Background
• Modular Invariance of Strings on PP-Waves with RR-flux
• Strings in plane wave backgrounds
• D-branes in NSNS and RR pp-wave backgrounds and S-duality
• Probing Noncommutativity with Inflationary Gravitational Waves
• p-p' Branes in PP-wave Background
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
• D-branes in PP-Waves and Massive Theories on Worldsheet with Boundary
• Supersymmetry and Branes in M-theory Plane-waves
• Notes on Giant Gravitons on PP-waves
• Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• D-branes of Covariant AdS Superstrings
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• D-Branes at angle in pp-wave Background
• PP-wave string interactions from n-point correlators of BMN operators
• Solution to worldvolume action of D3 brane in pp-wave background
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• An example of localized D-branes solution on PP-wave backgrounds
• D-branes in PP-wave light cone string field theory
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Seiberg--Witten maps for $\mathbf{SO}(1,3)$ gauge invariance and deformations of gravity
• Is Noncommutative Eternal Inflation Possible?
• Super D-branes from BRST Symmetry
• Nonlocal Effects on D-branes in Plane-Wave Backgrounds
• Open string - BMN operator correspondence in the weak coupling regime
• The String Light Cone in the pp-wave Background
• Boundary fermions and the plane wave
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• A Note on D-brane - Anti-D-brane Interactions in Plane Wave Backgrounds
• Quantization of the open string on plane-wave limits of dS_n x S^n and non-commutativity outside branes
• Noncommutative D-brane from Covariant AdS Superstring
• Intersecting Noncommutative M5-branes from Covariant Open Supermembrane
• Generalised Penrose Limits and PP-Waves
• Symplectic Quantization of Massive Bosonic string in background B-field
• Branes in the plane wave background with gauge field condensates
• Quantum deformation of cubic string field theory
• The Casimir effect and mass renormalization for a massive Bosonic string in background B-field
• Strings in pp-wave background and background B-field from membrane and its symplectic quantization
• Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
• More on supersymmetric D-branes in type IIB plane wave background
• D-branes with Lorentzian signature in the Nappi-Witten model
• Non-commutative Dp-Brane in General Background Fields
• Exact String Solutions and the Open String - D-Brane System in Non-Constant Background Fields I
• Geometric construction of D-branes in WZW models
• Attached Open Strings on a D$p$-brane in the Backgrounds of the pp-wave and Linear Dilation
• F-string Solution in AdS4 X CP3 PP-wave Background
• The Penrose limit of AdS*S space and holography