de Boer Jan, Papadodimas Kyriakos, Verlinde Erik
Institute for Theoretical Physics, University of Amsterdam, 1018 XE Amsterdam, The Netherlands.
Phys Rev Lett. 2009 Sep 25;103(13):131301. doi: 10.1103/PhysRevLett.103.131301. Epub 2009 Sep 22.
Supersymmetric black holes are characterized by a large number of degenerate ground states. We argue that these black holes, like other quantum mechanical systems with such a degeneracy, are subject to a phenomenon which is called the geometric or Berry's phase: under adiabatic variations of the background values of the supergravity moduli, the quantum microstates of the black hole mix among themselves. We present a simple example where this mixing is exactly computable, that of small supersymmetric black holes in 5 dimensions.
超对称黑洞的特征是具有大量简并基态。我们认为，这些黑洞与其他具有这种简并性的量子力学系统一样，会经历一种被称为几何相位或贝里相位的现象：在超引力模的背景值的绝热变化下，黑洞的量子微态会相互混合。我们给出一个简单的例子，其中这种混合是可以精确计算的，即五维中的小超对称黑洞。
