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Comments on Multiple M2-branes

Jonathan Bagger, Neil Lambert

Abstract

Recently a three-dimensional field theory was derived that is consistent with all the symmetries expected of the worldvolume action for multiple M2-branes. In this note we examine several physical predictions of this model and show that they are in agreement with expected M2-brane dynamics. In particular, we discuss the quantization of the Chern-Simons coefficient, the vacuum moduli space, a massive deformation leading to fuzzy three-sphere vacua, and a possible large n limit. In this large n limit, the fuzzy funnel solution correctly reproduces the mass of an M5-brane.

Comments on Multiple M2-branes

Abstract

Recently a three-dimensional field theory was derived that is consistent with all the symmetries expected of the worldvolume action for multiple M2-branes. In this note we examine several physical predictions of this model and show that they are in agreement with expected M2-brane dynamics. In particular, we discuss the quantization of the Chern-Simons coefficient, the vacuum moduli space, a massive deformation leading to fuzzy three-sphere vacua, and a possible large n limit. In this large n limit, the fuzzy funnel solution correctly reproduces the mass of an M5-brane.

Paper Structure

This paper contains 7 sections, 63 equations.

Table of Contents

  1. Introduction
  2. The Field Theory
  3. Quantizing $f^{abcd}$
  4. Vacuum Moduli Space
  5. BPS States and a Mass Deformation
  6. The Large n Limit
  7. Conclusions