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  • 學位論文

李三代數與M膜

Lie 3-Algebra and M-branes

指導教授 : 賀培銘

摘要


無資料

關鍵字

李三代數

並列摘要


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.

並列關鍵字

Lie 3-Algebra

參考文獻


[1] J. Bagger and N. Lambert, Gauge Symmetry and Supersymmetry of Multiple M2-Branes," Phys.
[2] J. Bagger and N. Lambert, Comments On Multiple M2-branes," JHEP 0802, 105 (2008)
[3] A. Gustavsson, Algebraic structures on parallel M2-branes," arXiv:0709.1260 [hep-th].
[4] A. Gustavsson, Selfdual strings and loop space Nahm equations," arXiv:0802.3456 [hep-th].
[5] J. Gomis, G. Milanesi, and J. G. Russo, Bagger-Lambert Theory for General Lie Algebras,"

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