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arXiv 0801.1520hep-thcond-mat.str-el
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亚稳动力学超对称破缺的引力对偶

A Gravity Dual of Metastable Dynamical Supersymmetry Breaking

Oliver DeWolfe, Shamit Kachru, Michael Mulligan

摘要:

在通量几何中,把反膜放在弯曲的喉道中,就可以产生亚稳的超对称性破坏构型。通过规范/引力对偶性,这样的组态应该在对偶场论中被解释为超光速破缺态。在本文中,我们微扰地确定了对应于反D3膜探针的渐近超引力解,该探针位于级联翘曲变形锥几何的尖端,它与SU(N+M)x SU(N)规范理论对偶。反膜的反反应具有引入虚反自对偶通量、挤压空间的紧致部分并迫使反自偶子运行的作用。利用全息重整化对级联几何的推广,我们根据超引力场的渐近值确定了对偶场论中算符的期望值。

英文摘要:

Metastable, supersymmetry-breaking configurations can be created in flux geometries by placing antibranes in warped throats. Via gauge/gravity duality, such configurations should have an interpretation as supersymmetry-breaking states in the dual field theory. In this paper, we perturbatively determine the asymptotic supergravity solutions corresponding to anti-D3-brane probes placed at the tip of the cascading warped deformed conifold geometry, which is dual to an SU(N+M) x SU(N) gauge theory. The backreaction of the antibranes has the effect of introducing imaginary anti-self-dual flux, squashing the compact part of the space and forcing the dilaton to run. Using the generalization of holographic renormalization to cascading geometries, we determine the expectation values of operators in the dual field theory in terms of the asymptotic values of the supergravity fields.

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