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arXiv 1106.0946hep-thgr-qchep-ph
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d维超弦中的热对偶性和非奇异宇宙学

Thermal duality and non-singular cosmology in d-dimensional superstrings

Costas Kounnas, Herve Partouche, Nicolaos Toumbas

摘要:

我们提出了一个弦机制的基本成分,能够解决两个哈格多恩不稳定性的有限温度超弦,以及在任意尺寸的诱导宇宙学的初始奇点。这些被证明是通用的一个大类的(4,0)II型超弦真空,其中非平凡的“重磁”通量解除哈格多恩不稳定性的热合奏和温度的对偶对称性恢复。这种对称性意味着普遍的最大临界温度。在所有这些模型中,有三个特征区域,每个区域都有不同的有效场论描述:两个与光热动量和光热缠绕态相关的双渐近冷区域,以及出现额外无质量热态的中间区域。的配分函数表现出一个圆锥形的结构作为一个功能的热模量,无论空间-时间维度。由于渐近右移超对称性,亏格-1配分函数在所有三种有效场论体系中都能很好地近似于无质量热辐射配分函数。由此产生的时间演化描述了一个跳跃的宇宙学,通过类空膜,一个收缩的热“缠绕”宇宙连接到一个膨胀的热“动量”宇宙,没有任何基本的曲率奇点。弦耦合在整个宇宙演化中保持微扰性。弹跳宇宙学提出了零和负的空间曲率。

英文摘要:

We are presenting the basic ingredients of a stringy mechanism able to resolve both the Hagedorn instabilities of finite temperature superstrings as well as the initial singularity of the induced cosmology in arbitrary dimensions. These are shown to be generic in a large class of (4,0) type II superstring vacua, where non-trivial "gravito-magnetic" fluxes lift the Hagedorn instabilities of the thermal ensemble and the temperature duality symmetry is restored. This symmetry implies a universal maximal critical temperature. In all such models there are three characteristic regimes, each with a distinct effective field theory description: Two dual asymptotically cold regimes associated with the light thermal momentum and light thermal winding states, and the intermediate regime where additional massless thermal states appear. The partition function exhibits a conical structure as a function of the thermal modulus, irrespective of the space-time dimension. Thanks to asymptotic right-moving supersymmetry, the genus-1 partition function is well-approximated by that of massless thermal radiation in all of the three effective field theory regimes. The resulting time-evolution describes a bouncing cosmology connecting, via spacelike branes, a contracting thermal "winding" Universe to an expanding thermal "momentum" Universe, free of any essential curvature singularities. The string coupling remains perturbative throughout the cosmological evolution. Bouncing cosmologies are presented for both zero and negative spatial curvature.

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