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五维超共形量子场论的全息对偶

Holographic Duals for Five-Dimensional Superconformal Quantum Field Theories.

作者信息

D'Hoker Eric, Gutperle Michael, Uhlemann Christoph F

机构信息

Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.

出版信息

Phys Rev Lett. 2017 Mar 10;118(10):101601. doi: 10.1103/PhysRevLett.118.101601. Epub 2017 Mar 8.

Abstract

We construct global solutions to type IIB supergravity with 16 residual supersymmetries whose space-time is AdS_{6}×S^{2} warped over a Riemann surface. Families of solutions are labeled by an arbitrary number L≥3 of asymptotic regions, in each of which the supergravity fields match those of a (p,q) five-brane, and may therefore be viewed as near-horizon limits of fully localized intersections of five-branes in type IIB string theory. These solutions provide compelling candidates for holographic duals to a large class of five-dimensional superconformal quantum field theories which arise as nontrivial UV fixed points of perturbatively nonrenormalizable Yang-Mills theories, thereby making them more directly accessible to quantitative analysis.

摘要

我们构建了具有16个剩余超对称的IIB型超引力的全局解,其时空是在黎曼曲面上翘曲的AdS₆×S²。解的族由任意数量L≥3的渐近区域标记,在每个渐近区域中,超引力场与一个(p,q)五膜的场相匹配,因此可以被视为IIB型弦理论中五膜完全局域化相交的近视界极限。这些解为一大类五维超共形量子场论的全息对偶提供了令人信服的候选者,这类量子场论作为微扰不可重整化杨-米尔斯理论的非平凡紫外不动点出现,从而使它们更直接地适用于定量分析。

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