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| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 賀培銘(Pei-Ming Ho) | |
| dc.contributor.author | Chien-Ho Chen | en |
| dc.contributor.author | 陳建和 | zh_TW |
| dc.date.accessioned | 2021-06-15T05:41:58Z | - |
| dc.date.available | 2010-08-24 | |
| dc.date.copyright | 2010-08-24 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-08-21 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46832 | - |
| dc.description.abstract | 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. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T05:41:58Z (GMT). No. of bitstreams: 1 ntu-99-D93222002-1.pdf: 510966 bytes, checksum: 6a5be6e33e27bb06c157be356e227464 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 1 Introduction 3
1.1 Background and motivation . . . . . . . . . . . . . . 3 1.2 Recent developments . . . . . . . . . . . . . . . . . 4 2 String worldsheet and p-branes worldvolume theories and NCG 6 2.1 Polyakov world-sheet action of string . . . . . . . . 6 2.2 Nambu-Goto action of p-branes . . . . . . . . . . . . 8 2.3 Dirac-Born-Infeld and Wess-Zumino actions . . . . . . 9 2.4 D-brane and noncommutative geometry . . . . . . . . .12 3 BLG M2-brane worldvolume theory and Lie-3 algebra 16 3.1 A single M2-brane theory . . . . . . . . . . . . . . 16 3.2 Metric Lie 3-algebra . . . . . . . . . . . . . . . . 18 3.3 BLG multiple M2-branes theory . . . . . . . . . . . .19 4 M5-brane worldvolume theory 21 4.1 Pasti-Sorokin-Tonin M5-brane theory . . . . . . . . .22 4.2 Nambu-Poisson M5-brane theory . . . . . . . . . . . .23 4.2.1 Nambu-Poisson manifold . . . . . . . . . . . . . . 23 4.2.2 Nambu-Poisson 3-algebra . . . . . . . . . . . . . .24 4.2.3 M5 from M2 . . . . . . . . . . . . . . . . . . . . 24 4.2.4 Volume preserving diffeomorphism (VPD) . . . . . . 29 4.2.5 M5 to D4 . . . . . . . . . . . . . . . . . . . . . 30 4.3 No-go theorem . . . . . . . . . . . . . . . . . . . .34 4.4 Dimension analysis of Nambu-Poisson M5-brane theory 37 5 Seiberg-Witten map in the Nambu-Poisson M5-brane theory 39 5.1 The second order of the Seiberg-Witten map of b and κ41 5.2 The second order term of the Seiberg-Witten map B . .42 5.3 The origin of the e2 deformation: VPD . . . . . . . 44 5.4 An exact special solution of the Seiberg-Witten map 44 6 Conclusion 46 A Symplectic structure 48 B Poisson geometry 50 C Schouten-Nijenhuis bracket of multi-vector fields 51 Bibliography 53 | |
| dc.language.iso | en | |
| dc.title | 南部-泊松M5膜世界體理論及賽伯格威騰映射 | zh_TW |
| dc.title | Nambu-Poisson M5-brane world-volume theory and Seiberg-Witten map | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 博士 | |
| dc.contributor.oralexamcommittee | 高涌泉,陳俊瑋,詹傳宗,高賢忠 | |
| dc.subject.keyword | M理論,超弦,膜動力學,賽伯格-威騰映射,非交換幾何, | zh_TW |
| dc.subject.keyword | M-theory,superstring,brane dynamics,Seiberg-Witten map,noncommutative geometry, | en |
| dc.relation.page | 59 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-08-21 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| Appears in Collections: | 物理學系 | |
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