English

A note on interpreting N M2 branes

High Energy Physics - Theory 2009-01-31 v3

Abstract

A new world volume theory with a free scalar field was proposed for Multiple M2 branes recently. By giving the free scalar a large VEV, we can obtain a gauge theory of multiple D2 branes with a coupling constant proportional to the VEV. It is pointed out by Banerjee and Sen that we can get D2 branes by choosing a compactification in the θ\theta direction, with radial position having the same value of the VEV. Following this work, we try to describe the multiple M2 branes in R^8/Z_K and give a simple provement of g_{YM} \propto {1 \ov \sqrt{K}} in the compactification. We try to interpret T^0 and T^{-1} as the radial coordinate operator and momentum operator and give some evidences in geometry and quantum mechanics.

Keywords

Cite

@article{arxiv.0807.0890,
  title  = {A note on interpreting N M2 branes},
  author = {Yang Zhou},
  journal= {arXiv preprint arXiv:0807.0890},
  year   = {2009}
}

Comments

12 pages, a note of our provement added, some explanation modified

R2 v1 2026-06-21T10:57:48.763Z