Lie 3-Algebra and M-branes
博士 === 國立臺灣大學 === 物理研究所 === 97 === We review the superconformal Lagrangian describing the low energy dynamics of multiple coinci- dent M2 branes with Lie 3-algebra, and constructed some examples of Lie 3-algebra of ‾nite dimensions. The mathematical structures of Lie 3-algebra encode all the informa...
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| Format: | Others |
| Language: | en_US |
| Published: |
2009
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| Online Access: | http://ndltd.ncl.edu.tw/handle/06962537333178552909 |
| Summary: | 博士 === 國立臺灣大學 === 物理研究所 === 97 === We review the superconformal Lagrangian describing the low energy dynamics of multiple coinci-
dent M2 branes with Lie 3-algebra, and constructed some examples of Lie 3-algebra of ‾nite dimensions.
The mathematical structures of Lie 3-algebra encode all the information of the theory. In order to
understanding the properties of 11D M theory, and gaining some insight into the degrees of freedom of
multiple M2-branes, we also developed the cubic matrix representation. This representation enables
us to ‾nd an e®ective ‾eld theory in the large N limit. The fat graph structure and power counting for
any Feynman diagram with arbitrary interacting vertices are available. Finally we also got the upper
bound of power of N for any diagram with no external legs, but still can not see the N^(3/2)
degrees of freedom in M theory.
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