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

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
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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从描述超弦的矩阵模型看标准模型的出现研究
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    24540279
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Studies of Superstrings on Non-trivial Backgrounds by Conformal Field Theory and Applications to Elementary Particle Physics
用共形场论研究非平凡背景上的超弦及其在基本粒子物理中的应用
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Dynamics of superstrings and new universality of matters
超弦动力学和物质的新普遍性
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    22540277
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Study of Higher-dimensional Black Holes and Their Singularities by Superstrings
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Application of string field theory to superstrings
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Suoersymmetry, Superstrings and Phenomenology
索尔对称性、超弦和现象学
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    0354401
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    2004
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    Continuing Grant
Low-energy effective action of compactified type-II superstrings and M-theory
致密II型超弦的低能有效作用与M理论
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    15540282
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