| Project/Area Number |
23740178
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
|
|---|
| Research Institution | Shinshu University |
|---|
Principal Investigator |
OKUYAMA Kazumi 信州大学, 学術研究院理学系, 准教授 (70447720)
|
|---|
| Project Period (FY) |
2011-04-28 – 2015-03-31
|
| Project Status |
Completed (Fiscal Year 2014)
|
| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Keywords | M理論 / AdS/CFT対応 / 非摂動効果 / 膜のインスタントン / ABJ(M)理論 / Nf行列模型 / Nekrasov-Shatashvili極限 / ABJM理論 / フェルミガス / インスタントン / ABJM模型 / 余剰次元 / ゲージ・ヒッグス統一 / ファジートーラス / 脱構築 / M2ブレーン |
|---|
| Outline of Final Research Achievements |
In superstring theory and its strong coupling limit, known as M-theory, we can study the quantum gravity effects beyond classical gravity via the holographic duality between gauge theory and gravity. In this work, we have studied the quantum corrections in M-theory on 4-dimensional anti-de Sitter space from the analysis of the partition function of the dual gauge theory, so-called ABJM theory. We have arrived at a very detailed understanding of the non-perturvative corrections beyond the perturbative loop corrections in gravity. There are two types of such non-perturbative corrections, worldsheet instantons and membrane instantons, and we have determined the complete analytic forms of instanton coefficients as functions of coupling. We believe that this is a very important first step towards the non-perturbative definition of M-theory.
|
