李三代數與M膜

Lie 3-Algebra and M-branes

侯汝純(Ru-Chuen Hou)

指導教授 ： 賀培銘

國立臺灣大學/理學院/物理研究所/博士(2009年)

https://doi.org/10.6342/NTU.2009.00386

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,"