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The String Universe: High $T_c$ Superconductor or Quantum Hall Conductor?

机译:string Universe:High $ T_c $ superconductor或Quantum Hall   导体?

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摘要

Our answer is the latter. Space-time singularities, including the initialone, are described by world-sheet topological Abelian gauge theories with aChern-Simons term. Their effective $N=2$ supersymmetry provides an initialfixed point where the Bogomolny bound is saturated on the world-sheet,corresponding to an extreme Reissner-Nordstrom solution in space-time. Awayfrom the singularity the gauge theory has world-sheet matter fields, bosons andfermions, associated with the generation of target space-time. Because thefermions are complex (cf the Quantum Hall Effect) rather than real (cfhigh-$T_c$ superconductors) the energetically-preferred vacuum is not parity ortime-reversal invariant, and the associated renormalization group flow explainsthe cosmological arrow of time, as well as the decay of real or virtual blackholes, with a monotonic increase in entropy.
机译:我们的答案是后者。时空奇点,包括首字母,由带有aChern-Simons术语的世界表拓扑阿贝尔规范理论描述。它们的有效$ N = 2 $超对称性提供了Bogomolny界在世界范围内饱和的初始固定点,对应于时空的极端Reissner-Nordstrom解。除了奇异点以外,规范理论还具有世界表物质场,玻色子和费米子,与目标时空的产生有关。因为费米子是复杂的(参见量子霍尔效应)而不是实际的(cfhigh- $ T_c $超导体),所以能量优先级的真空不是奇偶性或时间可逆不变的,并且相关的重整化组流解释了宇宙的时间箭头,以及真实或虚拟黑洞的衰减,熵单调增加。

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