Vertex Operators for the Supermembrane and Background Field Matrix Theory

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. Our results immediately imply the linear coupling of matrix theory to an arbitrary supergravity background to all orders in anticommuting coordinates. Finally we address the definition of n-point tree level and one-loop scattering amplitudes. The resulting 3-point tree level amplitudes turn out to agree with d=11 supergravity and are completely fixed by supersymmetry and the existence of a normalizable ground state.

10 pages, Talk given at the E.S. Fradkin Memorial Conference, Moscow 2000 and Strings 2000, University of Michigan, Ann-Arbor

References in corpus (3)

• Light-cone Quantum Mechanics of the Eleven-dimensional Superparticle
• Vertex Operators for the Supermembrane
• BPS Amplitudes, Helicity Supertraces and Membranes in M-Theory

Cited by in corpus (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
• Enhanced Coset Symmetries and Higher Derivative Corrections
• Curved 11D Supergeometry
• Duality Groups, Automorphic Forms and Higher Derivative Corrections
• Higher-derivative gauge field terms in the M-theory action
• Dielectric Fundamental Strings in Matrix String Theory
• Pure Spinors, Free Differential Algebras, and the Supermembrane
• Progress toward the Determination of Complete Vertex Operators for The IIB Matrix Model
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction