Integrable field theories in higher dimensions and infinite-dimensional symmetries

高维和无限维对称性的可积场论

• 批准号: 10640283
• 负责人: INAMI Takeo
• 金额: $ 1.79万
• 依托单位: CHUO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640283/
• 关键词: integrable field theory; infinite-dimensional symmetry; non-commutative field theory; Calogero-Moser model; supersymmetric non-linear sigma model; duality; eight-vertex model; 高次元ヤング・ミルズ理論; 可積分な場の理論; 無元次元対称性; 高次元ヤング・シルズ理論

We have carried out research on the following two subjects :I.Extension of integrable field theories in various directionsII.New models of field theories in view of unified theoriesWe have obtained a few results on the following problems. We have also found new problems in the course of the present research.I.(a) Test of Guttmann-Enting's conjecture : eight-vertex model(b) Integrable lattice models with boundaries and their field theory limit(c) Integrable models containing chiral fermions and SUSY models on the lattice(d) Ultraviolet divergence properties of the extended SUSY NLSM in three dimensions(e) Non-commutative extension of two-dimensional integrable field theories(f) Extension of the Wess-Zumino-Witten model to higher dimensions(g) Quantum theory of Calogero-Moser model : New results on root systems and Lax representation.(h) Quantum theory of Calogero-Moser model : Integrability of models with degenerate potential.II.(a) Higher dimensional gauge theories as the origin of Higgs fields(b) Duality between field theories in diverse dimensions : Duality between antisymmetric tensor fields and nonlinear sigma models.We have published 19 papers during the three years of this project term.

我们已经对以下两个主题进行了研究：i.在各个方向上的综合场理论的扩展。鉴于统一理论的新模型，我们已经在以下问题上获得了一些结果。我们还在本研究过程中发现了新问题。I。（a）测试Guttmann-Enting的猜想：具有边界的八个Vertex模型（b）具有界限及其野外理论限制（C）包含手性手性武器和SUSY模型的野外理论限制（c）的集成晶格模型（d）紫外线（d）紫外线的susy nls nls nls nls nls nls nls nls nls nls nls nls nls nls nlls nls nlls nl ls nls nls nls nls nls nls nls的模型二维可整合现场理论的扩展（f）将肥大模型的模型扩展到更高维度（g）calogero-moser模型的量子理论：calogero-moser模型的量子系统和LAX表示的新结果。各个方面的理论：反对称张量场和非线性Sigma模型之间的二元性。我们在该项目期限的三年中发表了19篇论文。

项目成果

H.Hatanaka T.Inami, C.S.Lim: "The Gauge Hierarchy Problem and Higher-Dimensional Gauge Theories"Mod.Phys.Letts.. A13. 2601-2611 (1998)

H.Hatanaka T.Inami、C.S.Lim：“规范层次问题和高维规范理论”Mod.Phys.Letts.. A13。

K.Furuta, T.Inami: "Ultraviolet Properties of Non-Commutative Wess-Zumino-Witten Model"Mod.Phys.Letts.. A15. 997-1002 (2000)

K.Furuta、T.Inami：“非交换 Wess-Zumino-Witten 模型的紫外线特性”Mod.Phys.Letts.. A15。

A.J.Bordner: "Calogero-Moser Models III:Elliptic Potential and Twisting" Prog.Theor.Phys.101巻4号.

A.J.Bordner：“Calogero-Moser 模型 III：椭圆势和扭曲”Prog.Theor.Phys.Vol.101，No.4。

H.Hatanaka: "The Gauge Hierarchy Problem and Higher-Dimensional Guge Theories" Mod.Phys.Letts.A13巻. 2601-2612 (1998)

H.Hatanaka：“规范层次问题和高维规范理论”Mod.Phys.Letts.A13 卷 2601-2612 (1998)。

T.Inami, Y.Saito and M.Yamamoto: "Vanishing Next-to-Leading Order Corrections to the β Function of the SUSY CP^<N-1> Model in Three Dimensions"Prog.Theor.Phys.. 103. 1283-1288 (2000)

T.Inami、Y.Saito 和 M.Yamamoto：“三维 SUSY CP^<N-1> 模型的 β 函数的消失次前导阶修正”Prog.Theor.Phys.. 103. 1283 -1288 (2000)