Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory

Abstract

We formulate matrix models for strings in ten dimensional pp-wave backgrounds and for particles in eleven dimensional ones. This is done by first characterizing the deformations of ten dimensional {\cal N}=1 SYM which are induced by a constant bispinorial coupling $\int \bar{\Psi }H\Psi$ plus a minimal purely bosonic completition and then by the appropriate dimensional reduction. We find a whole class of new models for the matrix strings and a generalization of the supernumerary supersymmetric models as far as the matrix theory for particles is concerned. A companion deformation of the IKKT matrix model is also discussed.

1+14 pages, one reference added, typo, extended discussion in section 3

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Cited by in corpus (55)

• Bits, Matrices and 1/N
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Type IIA String and Matrix String on PP-wave
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres
• PP-wave String Interactions from String Bit Model
• N=(4,4) Type IIA String Theory on PP-Wave Background
• Supersymmetric objects in the M-theory on a pp-wave
• Modular Invariance of Strings on PP-Waves with RR-flux
• Quantum Corrections on Fuzzy Sphere
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
• Matrix Membrane Big Bangs and D-brane Production
• Gauge theory description of compactified pp-waves
• Fuzzy Spheres in pp Wave Matrix String Theory
• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
• Fuzzy 5-spheres and pp-wave Matrix Actions
• Non-Abelian BIonic Brane Intersections
• Field Equations of Massless Fields in the New Interpretation of the Matrix Model
• Supersymmetric Deformations of Type IIB Matrix Model as Matrix Regularization of N=4 SYM
• Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres
• Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models
• Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• On Matrix Model Formulations of Noncommutative Yang-Mills Theories
• 5D action for longitudinal five branes on a pp-wave
• On Type II strings in exact superconformal non-constant RR backgrounds
• Curved-space classical solutions of a massive supermatrix model
• Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• Type II pp-wave Matrix Models from Point-like Gravitons
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry
• Fluctuating Fuzzy Funnels
• A note on string interaction on the pp-wave background
• Time-dependent supergravity solutions in null dilaton background
• On Non-linear Action for Gauged M2-brane
• Dirichlet Branes of the Covariant Open Supermembrane on a PP-wave Background
• Supergravity, Supermembrane and M(atrix) model on PP-Waves
• A Type IIB Matrix Model via non-Abelian T-dualities
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• Statistical Physics of the Polarised IKKT Matrix Model
• N=4 SYM on R times S^3 and PP-Wave
• Supersymmetric Intersections of M-branes and pp-waves
• Boundary fermions and the plane wave
• Giant Gravitons in type IIA PP-wave Background
• Smearing Effect in Plane-Wave Matrix Model
• Point-Like Graviton Scattering in Plane-Wave Matrix Model
• The instability of intersecting fuzzy spheres
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• Matrix String Theory on pp-waves
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry
• Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms
• Pp-wave Matrix Models from Point-like Gravitons
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model