On the Dielectric Effect for Gravitational Waves

Abstract

We argue that the dielectric effect, mostly studied for systems of coincident D-branes, is also extendible to configurations of multiple gravitational waves. We provide some evidence that Matrix string theory has an alternative interpretation as describing also, in the static gauge, multiple Type IIA gravitational waves. Starting with the linearised action of Matrix string theory in a weakly curved background, we identify the non-Abelian couplings of multiple coinciding gravitons to weak background fields, both in Type IIA and in Type IIB, and we use them to study various dielectric configurations from the point of view of the expanding gravitons. We also identify, in the Abelian limit, some non-perturbative correction terms to the Abelian gravitational wave action.

31 pages, 3 figures. v2: Minor changes, version to appear in Nucl.Phys.B

References in corpus (10)

• Matrix Perturbation Theory For M-theory On a PP-Wave
• Tubular Branes in Fluxbranes
• Flux-branes and the Dielectric Effect in String Theory
• 7-Branes and Higher Kaluza-Klein Branes
• A note on the Supergravity Description of Dielectric Branes
• Dielectric Fundamental Strings in Matrix String Theory
• Giant Gravitons with NSNS B field
• M-Theory Giant Gravitons with C field
• Non-commutative Branes from M-theory
• Matrix string theory and the Myers effect

Cited by in corpus (36)

• Supermembrane on the PP-wave Background
• A Microscopical Description of Giant Gravitons
• Towards the solution to the giant graviton puzzle
• Fuzzy Spheres in pp Wave Matrix String Theory
• A Microscopical Description of Giant Gravitons II: The AdS_5 x S^5 Background
• Fuzzy 5-spheres and pp-wave Matrix Actions
• Computing Wilson lines with dielectric branes
• Giant Gravitons and Fuzzy CP^2
• Notes on Giant Gravitons on PP-waves
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• Superembedding approach to M0-brane and multiple M0-brane system
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds
• Type II pp-wave Matrix Models from Point-like Gravitons
• The baryon vertex with magnetic flux
• Dielectric 5-Branes and Giant Gravitons in ABJM
• A Type IIB Matrix Model via non-Abelian T-dualities
• Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
• Action for the eleven dimensional multiple M-wave system
• Multiple M-wave interaction with fluxes
• Branes wrapping black holes as a purely gravitational dielectric effect
• Covariant action and equations of motion for the eleven dimensional multiple M0-brane system
• Supersymmetric action for multiple D0-brane system
• Supersymmetric non-Abelian multiwaves in D=3 AdS superspace
• Non-Abelian Giant Gravitons
• A KK-monopole giant graviton in AdS_5 x Y_5
• New non-abelian effects on D branes
• 3D supersymmetric nonlinear multiple D$0$-brane action and 4D counterpart of multiple M-wave system
• Complete nonlinear action for supersymmetric multiple D$0$-brane system
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
• Hamiltonian approach and quantization of $D=3,\mathcal{N}=1$ supersymmetric non-Abelian multiwave system
• Multiple M0-brane equations in eleven dimensional pp-wave superspace and BMN matrix model
• Towards the M(atrix) model action in an arbitrary 11D supergravity background. Progress report
• Multiple fundamental strings and waves to non-linear order in the background fields
• M(atrix) model interaction with 11D supergravity
• Pp-wave Matrix Models from Point-like Gravitons