Vertex Operators for the Supermembrane

Abstract

We derive the vertex operators that are expected to govern the emission of the massless d=11 supermultiplet from the supermembrane in the light cone gauge. We demonstrate that they form a representation of the supersymmetry algebra and reduce to the type IIA superstring vertex operators under double dimensional reduction, as well as to the vertices of the d=11 superparticle in the point-particle limit. As a byproduct, our results can be used to derive the corresponding vertex operators for matrix theory and to describe its linear coupling to an arbitrary d=11 supergravity background. Possible applications are discussed.

22 pages, LaTeX, uses axodraw.sty; v2: minor changes, version to be published in JHEP

Cited by in corpus (39)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Towards Covariant Quantization of the Supermembrane
• Covariant One-Loop Amplitudes in D=11
• Higher order M theory corrections and the Kac-Moody algebra E10
• Fermions, T-duality and effective actions for D-branes in bosonic backgrounds
• On the Dielectric Effect for Gravitational Waves
• Fivebrane instantons and Calabi-Yau fourfolds with flux
• BPS preons and tensionless super-p-brane in generalized superspace
• Enhanced Coset Symmetries and Higher Derivative Corrections
• Curved 11D Supergeometry
• Duality Groups, Automorphic Forms and Higher Derivative Corrections
• Superfield integrals in high dimensions
• Supercurrents in Matrix theory and the generalized AdS/CFT correspondence
• A Membrane Action for OM Theory
• Higher-derivative gauge field terms in the M-theory action
• Open Dielectric Branes
• From Supermembrane to Matrix String
• Dielectric Fundamental Strings in Matrix String Theory
• Norcor vs the Abominable Gauge Completion
• Supersymmetric string model with 30 kappa--symmetries in an extended D=11 superspace and 30/ 32 BPS states
• Vertex Operators in IIB Matrix Model
• Areas and entropies in BFSS/gravity duality
• On type II superstrings in bosonic backgrounds: the role of fermions and T-duality
• Eleven dimensional supergravity in light cone gauge
• Vertex Operators for the Supermembrane and Background Field Matrix Theory
• Wilson Loops and Vertex Operators in Matrix Model
• $\beta$-deformation for matrix model of M-theory
• A perturbative expansion scheme for supermembrane and matrix theory
• Progress toward the Determination of Complete Vertex Operators for The IIB Matrix Model
• Supersymmetry of Green-Schwarz Superstring and Matrix String Theory
• Fermionic Backgrounds and Condensation of Supergravity Fields in IIB Matrix Model
• Fundamental Membranes and the String Dilaton
• Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction
• Little IIB Matrix Model
• Quantisation of type IIB superstring theory and the matrix model
• Non-abelian action of D0-branes from Matrix theory in the longitudinal 5-brane background
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles