论文标题

IIB矩阵型号,玻色粒主场和紧急时空

IIB matrix model, bosonic master field, and emergent spacetime

论文作者

Klinkhamer, F. R.

论文摘要

IIB矩阵模型已被建议作为非扰动超边缘理论(M理论)的特定表述。现在已经意识到,新兴的古典时空可能位于其大型$ N $主场中。原则上,这个玻色粒大师场可以引起Minkowski和Robertson-Walker SpaceTimes。杰出的任务是解决玻璃纤维主场方程,这本质上是代数方程。在本文中,我们提供了$(d,\,n)=(10,\,4)$ bosonic主场方程的新结果,其中$ d $是bosonic矩阵的数量,而矩阵大小。我们还在一个独立的附录中给出了有效的骨气动作的关键点的明确结果。 (无量纲)IIB矩阵模型的主要物理应用可能是提供一个取代Friedmann Big Bang Singularity的(共形)阶段。

The IIB matrix model has been suggested as a particular formulation of nonperturbative superstring theory (M-theory). It has now been realized that an emerging classical spacetime may reside in its large-$N$ master field. This bosonic master field can, in principle, give rise to Minkowski and Robertson-Walker spacetimes. The outstanding task is to solve the bosonic master-field equation, which is essentially an algebraic equation. In this article, we present new results for the $(D,\,N)=(10,\,4)$ bosonic master-field equation of the IIB matrix model, where $D$ is the number of bosonic matrices and $N$ the matrix size. We also give, in a self-contained appendix, explicit results for critical points of the effective bosonic action. The main physics application of the (dimensionless) IIB matrix model may be in providing a (conformal) phase that replaces the Friedmann big bang singularity.

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