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arXiv 0903.1324hep-th
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AdS(5)xS(5)背景下含5型通量项Dirac方程谱中的电子中微子质量标度

Electron neutrino mass scale in spectrum of Dirac equation with the 5-form flux term on the AdS(5)xS(5) background

Boris L. Altshuler

摘要:

在AdS(5)xS(5)(+自对偶5-形式)背景下写出的IIB超引力狄拉克方程从10维降维到5维,给出了有效的5D Randall Sundrum理论中费米子体质量的明确值。在弯曲时空的紫外端和红外端分别采用“untwisted”和“twisted”(hep-th/0012378)边界条件,得到Dirac方程的两个谱塔:普通谱塔的谱数与谱数成线性关系,而“twisted”谱塔的谱数随谱数的增长呈指数下降。考虑费米子5型相互作用(hep-th/9811106),给出了狄拉克方程“扭曲”谱中的电子中微子质量标度。左右“中微子”的本征函数在额外空间中的分布有很大的不同,这可能导致轻的右中微子与普通物质的耦合非常小,从而将其加入到过多的暗物质候选者中。

英文摘要:

Dimensional reduction from 10 to 5 dimensions of the IIB supergravity Dirac equation written down on the AdS(5)xS(5) (+ self-dual 5-form) background provides the unambiguous values of bulk masses of Fermions in the effective 5D Randall Sundrum theory. The use of "untwisted" and "twisted" (hep-th/0012378) boundary conditions at the UV and IR ends of the warped space-time results in two towers of spectrum of Dirac equation: the ordinary one which is linear in spectral number and the "twisted" one exponentially decreasing with growth of spectral number. Taking into account of the Fermion-5-form interaction (hep-th/9811106) gives the electron neutrino mass scale in the "twisted" spectrum of Dirac equation. Profiles in extra space of the eigenfunctions of left and right "neutrinos" drastically differ which may result in the extremely small coupling of light right neutrino with ordinary matter thus joining it to plethora of candidates for Dark Matter.

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