A note on interpreting N M2 branes
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 $\theta$ 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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2008
- DOI:
- arXiv:
- arXiv:0807.0890
- Bibcode:
- 2008arXiv0807.0890Z
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 12 pages, a note of our provement added, some explanation modified