Matrix Strings in Weakly Curved Background Fields

Abstract

We investigate further the recent proposal for the form of the Matrix theory action in weak background fields. We perform DVV reduction to the multiple D0-brane action in order to find the Matrix string theory action for multiple fundamental strings in curved but weak NS-NS and R-R backgrounds. This matrix sigma model gives a definite prescription on how to deal with R-R fields with an explicit spacetime dependence in Type II string theory. We do this both via the 9-11 flip and the chain of T and S dualities, and further check on their equivalence explicitly. In order to do so, we also discuss the implementation of S-duality in the operators of the 2-dimensional world-volume supersymmetric gauge theory describing the Type IIB D-string. We compare the result to the known Green-Schwarz sigma model action (for one string), and use this comparison in order to discuss about possible, non-linear background curvature corrections to the Matrix string action (involving many strings), and therefore to the Matrix theory action. We illustrate the nonabelian character of our action with an example involving multiple fundamental strings in a non-trivial R-R flux, where the strings are polarized into a noncommutative configuration. This corresponds to a dielectric type of effect on fundamental strings.

46 pages, Latex; v2: added 3 refs and 1 comment

References in corpus (9)

• String Theory and Noncommutative Geometry
• Dielectric-Branes
• The Noncommutative Bion Core
• The M(atrix) model of M-theory
• Matrix Theory Interpretation of DLCQ String Worldsheets
• D-brane Physics and Noncommutative Yang-Mills Theory
• Quantization of Superstrings in Ramond-Ramond Backgrounds
• Matrix Theory in a Constant C Field Background
• Symmetries and interactions in matrix string theory

Cited by in corpus (29)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
• Non-abelian Brane Intersections
• Stable Wrapped Branes
• A Microscopical Description of Giant Gravitons
• The (p,q) String Tension in a Warped Deformed Conifold
• On the Dielectric Effect for Gravitational Waves
• IR Inflation from Multiple Branes
• Fuzzy Sphere from Matrix Model
• The shape of nonabelian D-branes
• DLCQ and Plane Wave Matrix Big Bang Models
• Dielectric Fundamental Strings in Matrix String Theory
• Non-Abelian (p,q) Strings in the Warped Deformed Conifold
• Vertex Operators in IIB Matrix Model
• The polarization of F1 strings into D2 branes: "Aut Caesar aut nihil"
• Matrix strings in a B-field
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• Matrix string theory and the Myers effect
• Noncommutative spheres and the AdS/CFT correspondence
• Non-commutative Branes from M-theory
• Wilson Loops and Vertex Operators in Matrix Model
• Kinky D-branes and straight strings of open string tachyon effective theory
• Supertubes in reduced holonomy manifolds
• Supersymmetry of Green-Schwarz Superstring and Matrix String Theory
• DLCQ strings and branched covers of torii
• Non-Abelian Giant Gravitons
• Worldvolume Dynamics of Branes
• YM on the dielectric brane: a D0-brane tale
• Some Consequences of Noncommutative Worldsheet of Superstring