Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds

Abstract

The explicit (all-order in fermions) form of the kappa-symmetric $D3$ brane probe action was previously found in the two maximally supersymmetric type IIB vacua: flat space and $Ad{S}_5\times S^5$. Here we present the form of the action in the third maximally supersymmetric type IIB background: gravitational plane wave supported by constant null 5-form strength. We study $D3$ brane action in both covariant and light cone kappa symmetry gauges. Like the fundamental string action, the $D3$ brane action takes a simple form once written in the light cone kappa-symmetry gauge. We also consider the $\mathcal{N}=4$ SYM theory in 4d plane wave background. Since some (super)symmetries of plane wave SYM action are friendly to (super)symmetries of the type IIB superstring in plane wave Ramond-Ramond background we suggest this SYM model may be useful in the context of AdS/CFT duality. We develop the Hamiltonian light cone gauge formulation for this theory.

52 pages, LaTeX, v3: misprints in eq's (5.43), (5.46) corrected, new commutators in eq's (5.38), (5.43) added

References in corpus (21)

• Aspects of Semiclassical Strings in AdS${}_5$
• PP-wave string interactions from perturbative Yang-Mills theory
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• More comments on superstring interactions in the pp-wave background
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Supermembrane on the PP-wave Background
• Type IIA String and Matrix String on PP-wave
• A class of exact pp-wave string models with interacting light-cone gauge actions
• Branes from Matrix Theory in PP-Wave Background
• PP-wave/Yang-Mills Correspondence: An Explicit Check
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• Comments on Superstring Interactions in a Plane-Wave Background
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Cubic String Field Theory in pp-wave Background and Background Independent Moyal Structure
• Solution to worldvolume action of D3 brane in pp-wave background
• Penrose Limit and Six-Dimensional Gauge Theories
• BMN Correlators by Loop Equations
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Penrose limit and string quantization in AdS_3 \times S^3
• Gauge invariant action for superstring in Ramond-Ramond plane-wave background

Cited by in corpus (16)

• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• The Plane-Wave/Super Yang-Mills Duality
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• Spiky strings, light-like Wilson loops and pp-wave anomaly
• Strings in plane wave backgrounds
• D-branes of Covariant AdS Superstrings
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Non-relativistic String and D-branes on AdS_5 x S^5 from Semiclassical Approximation
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• Euler Top Dynamics of Nambu-Goto P-Branes
• Superstrings and D-branes in A Plane Wave
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• Tachyon Condensation and Non-BPS D-branes in a Ramond-Ramond Plane Wave Background
• Notes on worldvolume supersymmetries for D-branes on AdS_5 X S^5 background
• Branes in the plane wave background with gauge field condensates