String Theory and Matrix Models

弦理论和矩阵模型

• 批准号: 14540264
• 负责人: ITOYAMA Hiroshi
• 金额: $ 1.47万
• 依托单位: Osaka City University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540264/
• 关键词: matrix model; integrable system; Seiberg-Witten curve; gluino condensation; prepotential; Whitham hierarchy; Dijkgraaf-Vafa proposal; supereigenvalue model; Gluino condensation; boundary string field theory

In the first half of the academic year of 2002, I made efforts on constructing off-shell boundary and crosscap states and on clarifyning their properties. I collaborated with S.Nakamura and T.Oota to publish two papers.In the second half of 2002, I changed my original plan to investigate physics of gluino condensate in N=1 supersymmetric gauge theory and the proposal of Dijkgraaf-Vafa by developing prepotential theory associated with some Riemann surfaces. I collaborated with A. Morozov to wrote four papers on this subject.In the academic year of 2003, I developed this investigation of N=1 prepotential theory further with H.Kanno. We succeeded in constructing a supereigenvalue model which derives the three Ward-Takahashi relations of supersymmetric gauge theory. We also revealed that the factorization of the matrix model curve is derived from the condition that the determinant of the mixed derivatives of the prepotential vanish. More recently, our current research group at Osaka City University is trying to understand the N=1 prepotential theory from the point of view of partial spontaneous breaking of N=2 supersymmetry.

在2002年上半年，我致力于离壳边界态和横截面态的构造和性质的研究。我与S. Nakamura和T. Oota合作发表了两篇论文。2002年下半年，我改变了原计划，通过发展与某些Riemann表面相关的预势理论来研究N = 1超对称规范理论和Dijkgraaf-Vafa的提议中的胶子凝聚体物理。我与A合作。2003学年，我与H.Kanno进一步发展了N = 1前势理论的研究。我们成功地构造了一个超本征值模型，它导出了超对称规范理论的三个Ward-Takahashi关系。我们还揭示了矩阵模型曲线的因式分解是由前势的混合导数的行列式为零的条件导出的。最近，我们大坂市立大学的研究小组正试图从N = 2超对称性的部分自发破缺的角度来理解N = 1前势理论。

项目成果

H.Itoyama, A.Morozov: "The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory"Nucl.Phys.B. 657. 53-78 (2003)

H.Itoyama、A.Morozov：“一般 Seiberg-Witten 理论背景下的 Dijkgraaf-Vafa 预势”Nucl.Phys.B。

H.Itoyama, A.Morozov: "Experiments with the WDVV equations for the gluino-condensateprepotential : The Cubic (two-cut) case"Phys. Lett. B (hep-th/0211259). 555. 287-295 (2003)

H.Itoyama、A.Morozov：“用 WDVV 方程进行葡萄糖凝聚预电势的实验：立方（二切割）情况”Phys。

H.Itoyama, H.Kanno: "Supereigenvalue Model and Dijkgraaf-Vafa Proposal"Phys.Lett.B. 573. 227-234 (2003)

H.Itoyama、H.Kanno：“超特征值模型和 Dijkgraaf-Vafa 提案”Phys.Lett.B。

H.Itoyama, H.Kanno: "Whitham Prepotential and Superpotential"Nucl.Phys.B. 686. 155-164 (2004)

H.Itoyama、H.Kanno：“Whitham 预电势和超电势”Nucl.Phys.B。

H.Itoyama, S.Nakamura: "Extension of Boundary String Field Theory on Disc and RP2 Worldsheet Geometries"Phys.Rev.D. 66. 046006 (2002)

H.Itoyama、S.Nakamura：“边界弦场论在圆盘和 RP2 世界表几何上的扩展”Phys.Rev.D。