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姓名 蔡淵(Yuan Tsai)  查詢紙本館藏   畢業系所 物理學系
論文名稱 外加B-場下於三維球面上之土坡弦及銳牙弦
(Giant magnons and spiky strings on S3 with B-field)
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摘要(中) 我們研究了弦旋轉在S3空間中,給予一個外加B場下的解。這種解有兩種組態:其一是銳牙形狀的弦,另外則是巨型土坡狀的弦。我們計算了相對應的能量E、以及角動量J1、J2,同時推導出分佈關係式。特別的是在解得巨型土坡狀弦的分佈關係式相似於解自旋陣列的躍遷分佈。我們猜想在給予一個外加B 場下,這種全像對應到保形場論
的關係式仍舊成立。
摘要(英) We study the solutions of a rotating string winding on S3 with a background NS-NS B-field. There are two types of configurations: one is spiky string and the other is giant magnon. We compute the associated energy E and two angular momenta J1, J2, and derive their dispersion relation. In particular, for giant magnon solution, the dispersion relation is similar to the result for the excitation of a spin chain. We conjecture that there should exist B-deformed conformal field theory holographically dual to this background.
關鍵字(中) ★ 巨型土坡弦
★ 銳牙弦
★ B-場
★ 弦
★ 自旋陣列
關鍵字(英) ★ spin-chain
★ string
★ B-field
★ magnons
★ spiky
論文目次 1 Overview 1
2 Introduction 5
3 String on S3 with B-field 9
3.1 Spiky string on S3 with B-field . . . . . . . . . . . . . . . . . . . . . 11
3.2 Giant magnon on S3 with B-field . . . . . . . . . . . . . . . . . . . . 14
4 String on S1 × S2 with B-field 17
4.1 Spiky string on S1 × S2 with B-field . . . . . . . . . . . . . . . . . . 20
4.2 Giant magnon on S1 × S2 with B-field . . . . . . . . . . . . . . . . . 22
5 Dual spin chain interpretation 25
6 Relation to sine-Gordon model 28
6.1 Spiky string to sine-Gordon model . . . . . . . . . . . . . . . . . . . . 29
6.2 Giant magnon to sine-Gordon model . . . . . . . . . . . . . . . . . . 30
7 Conclusion and Discussion 32
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指導教授 陳江梅(Chiang-Mei Chen) 審核日期 2009-7-21
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