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This thesis consists of three parts. In part I, we briefly review the foundations of Mtheory. Especially we take a look at M2brane and M5brane solutions in 11dim supergravity and their implications to dual CFTs through the AdS/CFT correspondence. In part II, we summarizes the recent progress on the low energy effective theories of M2branes and M5branes with particular emphasis on the role of the Lie 3algebra. In part III, we provide more details about Mtheory branes and its reduction to Dbranes in string theory. Part III is the main part of this thesis and is based on the author\u0027s works. \r\n\r\nIn order to understand the nonperturbative aspects of superstring theory, it is essential to investigate the dynamics of Mtheory and its branes. In modern perspective, it is known that there are two types of description about M2branes. One is the BaggerLambertGustavsson (BLG) theory based on a novel gauge structure, Lie 3algebra and the other is the AharonyBergmanJafferisMaldacena (ABJM) theory based on two ChernSimons theories with four bifundamental matter multiplets.\r\n\r\nIn this thesis, we mainly consider the relationships between BLG theory and ABJM theory. There are two types of Lie 3algebras classified by the metric of generators, namely Euclidean and Lorentzian. We first explain the general reduction of the LorentzianBLG (LBLG) theory to D2brane theory and confirm that the LBLG theory can be regarded as a reformulation of D2brane theory. However, such a formulation of the LBLG theory in terms of ordinary gauge theory enables us to connect this theory to the ABJM theory.\r\n\r\nThen we see that the 3d N=8 BLG theory based on the Lorentzian type 3algebra can be derived by taking a certain scaling limit of 3d N=6 U(N)k×U(N)－k ABJM theory whose moduli space is SymN(C4/Zk). The scaling limit which can be interpreted as the InonuWigner contraction is to scale the trace part of the bifundamental fields and the axial combination of the two gauge fields. Simultaneously we scale the ChernSimons level. In this scaling limit, M2branes are located far from the origin of C4/Zk compared to their fluctuations and Zk identification becomes a circle identification.\r\n\r\nFurthermore, we show that the BLG theory with two pairs of negative norm generators is derived from the scaling limit of an orbifolded ABJM theory. The BLG theory with many Lorentzian pairs is known to be reduced to the Dpbrane theory via the Higgs mechanism, so our scaling procedure can be used to derive Dpbranes from M2branes. We also investigate the scaling limits of various quiver ChernSimons theories obtained from different orbifolding actions. Remarkably, in the case of N=2 quiver CS theories, the resulting D3brane action covers a larger region in the parameter space of the complex structure moduli than the N=4 quiver CS theories. How the SL(2,Z) duality transformation is realized in the resultant D3brane theory is also discussed. \r\n\r\nMoreover, we explain the recent progress on the application of Lie 3algebra to M5branes. For M5branes, its nonabelian action has not been discovered due to the lack of understanding about consistent coupling between arbitrary number of tensor multiplets and YangMills multiplets. Recently, however, it was suggested that the equations of motion of M5branes can be constructed by using Lie 3algebra. We describe its consistency with the known string dualities and confirm that the proposed system has to be modified to realize the dynamics of multiple M5branes. We also comment about type IIA/IIB NS5brane and KaluzaKlein monopoles by taking various compactification cycles. Because both longitudinal and transverse directions to the worldvolume can be compactified in the proposed model, we can realize these systems. This situation is entirely different from the case of BLG theory. 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BRANE DYNAMICS IN MTHEORY
https://ir.soken.ac.jp/records/3126
https://ir.soken.ac.jp/records/3126fbebe8ec2baf452797eaf98c10679135
名前 / ファイル  ライセンス  アクション 

要旨・審査要旨 (217.3 kB)


本文 (915.3 kB)

Item type  学位論文 / Thesis or Dissertation(1)  

公開日  20120912  
タイトル  
タイトル  BRANE DYNAMICS IN MTHEORY  
タイトル  
言語  en  
タイトル  BRANE DYNAMICS IN MTHEORY  
言語  
言語  eng  
資源タイプ  
資源タイプ識別子  http://purl.org/coar/resource_type/c_46ec  
資源タイプ  thesis  
著者名 
本間, 良則
× 本間, 良則 

フリガナ 
ホンマ, ヨシノリ
× ホンマ, ヨシノリ 

著者 
HONMA, Yoshinori
× HONMA, Yoshinori 

学位授与機関  
学位授与機関名  総合研究大学院大学  
学位名  
学位名  博士（理学）  
学位記番号  
内容記述タイプ  Other  
内容記述  総研大甲第1499号  
研究科  
値  高エネルギー加速器科学研究科  
専攻  
値  14 素粒子原子核専攻  
学位授与年月日  
学位授与年月日  20120323  
学位授与年度  
2011  
要旨  
内容記述タイプ  Other  
内容記述  We discuss recent developments in Mtheory and low energy effective theories of Mtheory branes. This thesis consists of three parts. In part I, we briefly review the foundations of Mtheory. Especially we take a look at M2brane and M5brane solutions in 11dim supergravity and their implications to dual CFTs through the AdS/CFT correspondence. In part II, we summarizes the recent progress on the low energy effective theories of M2branes and M5branes with particular emphasis on the role of the Lie 3algebra. In part III, we provide more details about Mtheory branes and its reduction to Dbranes in string theory. Part III is the main part of this thesis and is based on the author's works. In order to understand the nonperturbative aspects of superstring theory, it is essential to investigate the dynamics of Mtheory and its branes. In modern perspective, it is known that there are two types of description about M2branes. One is the BaggerLambertGustavsson (BLG) theory based on a novel gauge structure, Lie 3algebra and the other is the AharonyBergmanJafferisMaldacena (ABJM) theory based on two ChernSimons theories with four bifundamental matter multiplets. In this thesis, we mainly consider the relationships between BLG theory and ABJM theory. There are two types of Lie 3algebras classified by the metric of generators, namely Euclidean and Lorentzian. We first explain the general reduction of the LorentzianBLG (LBLG) theory to D2brane theory and confirm that the LBLG theory can be regarded as a reformulation of D2brane theory. However, such a formulation of the LBLG theory in terms of ordinary gauge theory enables us to connect this theory to the ABJM theory. Then we see that the 3d N=8 BLG theory based on the Lorentzian type 3algebra can be derived by taking a certain scaling limit of 3d N=6 U(N)k×U(N)－k ABJM theory whose moduli space is SymN(C4/Zk). The scaling limit which can be interpreted as the InonuWigner contraction is to scale the trace part of the bifundamental fields and the axial combination of the two gauge fields. Simultaneously we scale the ChernSimons level. In this scaling limit, M2branes are located far from the origin of C4/Zk compared to their fluctuations and Zk identification becomes a circle identification. Furthermore, we show that the BLG theory with two pairs of negative norm generators is derived from the scaling limit of an orbifolded ABJM theory. The BLG theory with many Lorentzian pairs is known to be reduced to the Dpbrane theory via the Higgs mechanism, so our scaling procedure can be used to derive Dpbranes from M2branes. We also investigate the scaling limits of various quiver ChernSimons theories obtained from different orbifolding actions. Remarkably, in the case of N=2 quiver CS theories, the resulting D3brane action covers a larger region in the parameter space of the complex structure moduli than the N=4 quiver CS theories. How the SL(2,Z) duality transformation is realized in the resultant D3brane theory is also discussed. Moreover, we explain the recent progress on the application of Lie 3algebra to M5branes. For M5branes, its nonabelian action has not been discovered due to the lack of understanding about consistent coupling between arbitrary number of tensor multiplets and YangMills multiplets. Recently, however, it was suggested that the equations of motion of M5branes can be constructed by using Lie 3algebra. We describe its consistency with the known string dualities and confirm that the proposed system has to be modified to realize the dynamics of multiple M5branes. We also comment about type IIA/IIB NS5brane and KaluzaKlein monopoles by taking various compactification cycles. Because both longitudinal and transverse directions to the worldvolume can be compactified in the proposed model, we can realize these systems. This situation is entirely different from the case of BLG theory. Realization of the moduli parameters in the Uduality group is also discussed. 

所蔵  
値  有 