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標題: | 南部-泊松M5膜世界體理論及賽伯格威騰映射 Nambu-Poisson M5-brane world-volume theory and Seiberg-Witten map |
作者: | Chien-Ho Chen 陳建和 |
指導教授: | 賀培銘(Pei-Ming Ho) |
關鍵字: | M理論,超弦,膜動力學,賽伯格-威騰映射,非交換幾何, M-theory,superstring,brane dynamics,Seiberg-Witten map,noncommutative geometry, |
出版年 : | 2010 |
學位: | 博士 |
摘要: | M-theory is hoped to unify five superstring theories. In M-theory, there exists two fundamental extensive objects, M2- and M5-branes. They can relate to fundamental strings and D-branes by compactifying some directions of M-branes on a nontrivial submanifold. Recently, BLG model is proposed by manipulating Lie 3-algebra to construct multiple coincident M2-branes theory, which is a superconformal non-abelian gauge theory. Furthermore, manipulating a specific kind of Lie 3-algebra 'Nambu-Poisson bracket,' a single M5-brane theory is realized from the BLG M2-branes theory. Using double dimensional reduction, this theory can be reduced to the first order in coupling constant g of the noncommutative U(1) gauge theory on a D4-brane world-volume. But the Nambu-Poisson M5-brane theory cannot be deformed such that it reduces to the higher order terms of the Moyal bracket of the D4-brane theory. Therefore, we provide a no-go theorem describing that it is impossible to construct the higher order terms to match these two theories, at least perturbatively and in large C field background. A second order solution of Seiberg-Witten map of the theory is given, there appears an ambiguity for gauge transformation. An exact solution is also given without any free parameter. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46832 |
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顯示於系所單位: | 物理學系 |
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