STUDY ON DUALITY BETWEEN OPEN-AND CLOSED-STRINGS

开弦与闭弦对偶性研究

• 批准号: 15540273
• 负责人: NAKATSU Toshio
• 金额: $ 1.98万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15540273/
• 关键词: Superstrings; Supersymmetry; Duality; Gauge; gravity correspondence; Integrable system; Random plane partition; Amoeba; Tropical geometry; 超弦理論; ゲージ理論; 重力理論; 統計模型; 厳密解; 離散化; カラビ・ヤオ多様体; 超対称gauge理論; Gauge; 3次元統計模型; Calabi-Yau多様体; 非可換時空 /

(i)We exploit the boundary state formalism to investigate duality between open-and closed-strings in superstring theory. By using the off-shell interactions of open-and closed-strings developed in our for- malism, we show that in the background of non-vanishing NS-NS two-form field, the masssive modes of closed-string emerge as the Wilson lines in non-commutative gauge theories on D-branes. (ii)In superstring compactifications, local Calabi-Yau geometries are related with thermodynamic quantities of certain statistical models. We study random plane partitions relevant to describe Nekrasov's par- tition functions of five-dimensional supersymmetric gauge theories, from both the gauge theory and gravity viewpoints. After taking a natural scaling, the thermodynamic limit corresponds to a classical limit with respect to g_<st>. We show that classical objects called the limit shapes of plane partition govern the systems. In particular, the limit shapes at zero temperature are equivalent to the local geometries while at finite temperature, they describe a quantum deformation of the local geometries.

(i)我们利用边界态形式来研究超弦理论中开弦和闭弦之间的对偶性。通过使用我们形式主义中开发的开弦和闭弦的离壳相互作用，我们表明，在非消失的 NS-NS 两种形式场的背景下，闭弦的大量模式出现为 Wilson D 膜上的非交换规范理论中的线。 (ii)在超弦紧化中，局部卡拉比-丘几何与某些统计模型的热力学量相关。我们从规范理论和引力的角度研究与描述五维超对称规范理论的 Nekrasov 分割函数相关的随机平面分割。进行自然缩放后，热力学极限对应于 g_<st> 的经典极限。我们证明了称为平面划分极限形状的经典对象控制着系统。特别是，零温度下的极限形状相当于局部几何形状，而在有限温度下，它们描述了局部几何形状的量子变形。

项目成果

AmoeBas and Instantons

AmoeBas 和 Instanton

• 发表时间: 2007
• 期刊: International Journal of Modern Physics A22
• 作者: T.Maeda

5d Supersymmetric Yang-Mills Theories and Random Plane Partitions,

5d 超对称 Yang-Mills 理论和随机平面划分，

• 发表时间: 2005
• 期刊: Journal of High Energy Physics Volume 03
• 作者: T.Maeda;T.Nakatsu;K.Takasaki;T.Tamakoshi
• 通讯作者: T.Tamakoshi

Graritational Quantum Foart and SUSY gauqe Theories

引力量子理论和 SUSY gauqe 理论

• 发表时间: 2006
• 期刊: Nuclear Physics B735
• 作者: T.Maeda;T.Maeda
• 通讯作者: T.Maeda

Free Fermien and SeiPerg-Witten differential in RPP

RPP 中的自由费米恩微分和 SeiPerg-Witten 微分

• 发表时间: 2005
• 期刊: Nuclear Physics B715
• 作者: K.Sasaki;T.Maeda
• 通讯作者: T.Maeda

5d Supersymmetric Yang-Mills Theories and RPP

5d 超对称 Yang-Mills 理论和 RPP

• 发表时间: 2005
• 期刊: Journal of High Energy Physics 03
• 作者: Masafumi Fukuma;So Matsuura;Tadakatsu Sakai;T.Maeda
• 通讯作者: T.Maeda