Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

A Noncommutative M-Theory Five-brane

E. Bergshoeff, D. S. Berman, J. P. van der Schaar, P. Sundell

Abstract

We investigate, in a certain decoupling limit, the effect of having a constant C-field on the M-theory five-brane using an open membrane probe. We define an open membrane metric for the five-brane that remains non-degenerate in the limit. The canonical quantisation of the open membrane boundary leads to a noncommutative loop space which is a functional analogue of the noncommutative geometry that occurs for D-branes.

A Noncommutative M-Theory Five-brane

Abstract

We investigate, in a certain decoupling limit, the effect of having a constant C-field on the M-theory five-brane using an open membrane probe. We define an open membrane metric for the five-brane that remains non-degenerate in the limit. The canonical quantisation of the open membrane boundary leads to a noncommutative loop space which is a functional analogue of the noncommutative geometry that occurs for D-branes.

Paper Structure

This paper contains 9 sections, 109 equations.

Table of Contents

  1. Introduction
  2. The open membrane/five--brane system
  3. Open Brane Metrics
  4. The decoupling limit
  5. Canonical Analysis
  6. Discussions
  7. The Wess--Zumino term of the membrane
  8. The $SO(5,1)/SO(2,1)\times SO(3)$ parameterisation of ${\cal H}_{\mu\nu\rho}$
  9. The decoupling limit in the infinite momentum frame