| Item type |
学位論文 / Thesis or Dissertation(1) |
| 公開日 |
2010-02-22 |
| タイトル |
|
|
タイトル |
Supergravity backgrounds in matrix models |
| タイトル |
|
|
タイトル |
Supergravity backgrounds in matrix models |
|
言語 |
en |
| 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 |
寺地, 秀師
|
| フリガナ |
テラチ, ヒデノリ
|
| 著者 |
TERACHI, Hidenori
|
| 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851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 |
2005-03-24 |
| 学位授与年度 |
|
|
値 |
2004 |
| 要旨 |
|
|
内容記述タイプ |
Other |
|
内容記述 |
In this doctoral thesis, we discuss how the type IIB supergravity is induced in IKKT matrix model. After the establishment of the Standard Model of particle physics, the quantization of gravity is one of the most impotant problems. Matrix models which propose non-perturbative formulation of superstring theory might become the clue which solves this problem <br /> IKKT matrix model has the picture that the spacetime is dynamically generated as a discrete object made of N D-instantons (D(-1)). It is the impotant problem what fills the role of the background when we deal with gravity in the matrix model. In this paper, we introduce(N+1)×(N+1)matrices and regard the extra 1×1 block as a background. We may expect that the effective action for N D-instantons is modified by backgrounds so that they live in a curved space-time. This is analogous to a thermodynamic system. In a canonical ensemble, a subsystem in a heat bath is characterized by several thermodynamic quantities like temperature and pressure. Similarly a subsystem of N D-instantons in a, "matrix bath" can be characterized by several "thermodynamic quantities". We call this extra D-instanton a "mean field D-instanton". <br /> We construct wave functions and vertex operators for N D-instantons by expanding a supersymmetric Wilson loop operator. They form a massless multiplet of the N=2 type IIB supergravity and automatically satisfy conservation laws. The emergence of conservation laws seems to be a sign of the local symmetry. <br /> Next, we discuss the condensation of supergravity modes with the analogy between thermodynamics and the multi-particle system of N D-instantons. The condensation of a mean field D-instanton with an appropriate wave function f<SUB>k</SUB>(y,ξ) represents the back-ground with various terms corresponding to the choice of the wave functions by integrating over off-diagonal blocks of the one-loop effective action. In particular, a Chern-Simons-like term is induced when the mean-fietd D-instanton has a wave function of the antisymmetric tensor field. A fuzzy sphere becomes a classical solution to the equation of motion for the effective action. |
| 所蔵 |
|
|
値 |
有 |
| フォーマット |
|
|
内容記述タイプ |
Other |
|
内容記述 |
application/pdf |
要旨・審査要旨 (173.2 kB)
