Research On Supersymmetric Gauge Theories Via Matrix Models : A New Approach
通过矩阵模型研究超对称规范理论:一种新方法
基本信息
- 批准号:16540273
- 负责人:
- 金额:$ 1.09万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (C)
- 财政年份:2004
- 资助国家:日本
- 起止时间:2004 至 2006
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
1.We studied the gravitational corrections to the F-term in four-dimensional N=1 U(N) gauge theories with flavors, using the Dijkgraaf-Vafa theory. We derived a compact formula for the annulus contribution in terms of the prime form on the matrix model curve, and found that the full TrR^R correction was reproduced as a special momentum sector of a single c=1 CFT correlator.2.We have shown that Unitary 1-matrix models are exactly equivalent to hermitian 1-matrix models coupled to 2N vectors with appropriate potentials, to all orders in the 1/N expansion. This duality is useful, for example, for : (1) an explicit confirmation that the unitary matrix formulation of the N=2 pure SU(2) gauge theory correctly reproduces the genus-1 topological string amplitude (2) derivations of the special geometry relations in unitary as well as the Chern-Simons matrix models.3.We studied a one-dimensional sigma model associated with the hyperbolic Kac-Moody algebra G2H and its link to D=5, N=2 pure supergravity. The bosonic equations of motion and the Bianchi identity for D=5 pure supergravity match the equations of the level 3 truncation of the G2H sigma model up to higher level terms.4.We have obtained sets of infinite number of conserved nonlocal charges of strings in a flat space and pp-wave backgrounds.5.We showed that the lower-dimensional pure-spinor superstrings were cohomologically equivalent to the double-spinor superstrings in the same dimensions, and that the former were closely related to noncritical strings.6.We studied the zero-dimensional reduced model of D=6 pure super Yang-Mills theory and argued that the large N limit described the (2,0) Little String Theory. Also, we determined some so-far unknown vertex operators for the IIB matrix model and confirmed that they were consistent with the kinematical factor of a four-point graviton amplitude in a D-instanton background.
1.利用Dijkgraaf-Vafa理论研究了四维N= 1U(N)味规范理论中F项的引力修正。我们导出了一个简洁的矩阵模型曲线上的素形式的环贡献公式,并发现完整的TrR^R修正被再现为单个c=1 CFT湍流器的一个特殊动量扇区。2.我们证明了酉1矩阵模型与耦合到2N个适当势的厄米1矩阵模型在1/N展开中的所有阶完全等价。这种二重性是有用的,例如:(1)明确地证实了N=2纯SU(2)规范理论的酉矩阵表述正确地再现了亏格1拓扑弦振幅;(2)在酉矩阵模型和Chern-Simons矩阵模型中特殊几何关系的推导; Moody代数G2 H及其与D=5,N=2纯超引力的联系在D=5的纯超引力下,玻色运动方程和比安奇恒等式与G2 H σ模型的3阶截断方程在更高的阶项上是一致的。4.我们得到了在平坦空间和pp波背景下弦的无穷多个守恒非定域荷。5.我们证明了低维纯旋量超弦与双旋量超弦是上同调等价的。6.我们研究了D=6纯超杨-米尔斯理论的零维约化模型,证明了大N极限描述了(2,0)小弦理论.此外,我们还确定了IIB矩阵模型中一些未知的顶点算符,并证实它们与D-瞬子背景中四点引力子振幅的运动学因子是一致的。
项目成果
期刊论文数量(47)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Lower-dimensional superstrings in the double-spinor formalism
双旋量形式主义中的低维超弦
- DOI:
- 发表时间:2007
- 期刊:
- 影响因子:0
- 作者:Shuichiro Yokoyama;Teruaki Suyama;Takahiro Tanaka;H. Kunitomo and S. Mizoguchi
- 通讯作者:H. Kunitomo and S. Mizoguchi
Progress toward the Determination of Complete Vertex Operators for The llB Matrix Model
llB 矩阵模型完整顶点算子确定的进展
- DOI:
- 发表时间:2007
- 期刊:
- 影响因子:0
- 作者:Yoshihisa Kitazawa;Shun'ya Mizoguchi;Osamu Saito
- 通讯作者:Osamu Saito
GRAVITATIONAL CORRECTIONS TO SUPERSYMMETRIC GAUGE THEORY WITH MATTER IN THE FUNDAMENTAL REPRESENTATION VIA MATRIX MODEL
通过矩阵模型对超对称规范理论的基本表示中的物质进行引力修正
- DOI:
- 发表时间:2005
- 期刊:
- 影响因子:0
- 作者:H.Fuji;S.Mizoguchi
- 通讯作者:S.Mizoguchi
FIVE-DIMENSIONAL SUPERGRAVITY AND HYPERBOLIC KAC-MOODY ALGEBRA G2
五维超重力和双曲 KAC-穆迪代数 G2
- DOI:
- 发表时间:2006
- 期刊:
- 影响因子:0
- 作者:S.Mizoguchi;K.Mohri;Y.Yamada
- 通讯作者:Y.Yamada
Little llB matrix model
Little llB 矩阵模型
- DOI:
- 发表时间:2006
- 期刊:
- 影响因子:0
- 作者:Yoshihisa Kitazawa;Shun'ya Mizoguchi;Osamu Saito
- 通讯作者:Osamu Saito
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MIZOGUCHI Shun'ya其他文献
MIZOGUCHI Shun'ya的其他文献
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{{ truncateString('MIZOGUCHI Shun'ya', 18)}}的其他基金
Research on Superstrings Compactified on Singular Manifolds via Conformal Field Theory
奇异流形上紧致超弦的共形场论研究
- 批准号:
14540286 - 财政年份:2002
- 资助金额:
$ 1.09万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
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