论文标题
IIB矩阵模型中的副本，平均和分解
Replicas, averaging and factorization in the IIB matrix model
论文作者
论文摘要
我们研究了IIB（IKKT）矩阵模型中D-Brane配置多个复制品（副本）的分区功能。我们考虑了淬灭的制度，其中将矩阵的小波动叠加到背景的慢速（淬火）动力学上，因此分区函数是背景上的集合平均值。互动的D-Branes总是以简单的方式分解。另一方面，非相互作用的BPS配置可能会根据复制品的数量来分配，也可能不会分解，并且其分解机制更多地涉及，因为相应的鞍点解决方案（半孔孔）破坏了副本对称性。我们认为，相互作用的简单分解机制实际上更有趣，因为它带有量子重力的特定特定签名，而量子重力的特定签名不存在于SYK模型等无序场理论中。
We study the partition functions of multiple replicas (copies) of D-brane configurations in the type IIB (IKKT) matrix model. We consider the quenched regime, where small fluctuations of the matrices are superimposed onto the slow (quenched) dynamics of the background, so the partition function is an ensemble average over the background. Interacting D-branes always factorize in a simple way. On the other hand, the non-interacting BPS configurations may or may not factorize depending on the number of replicas, and their factorization mechanism is more involved as the corresponding saddle-point solutions (half-wormholes) break the replica symmetry. We argue that the simple factorization mechanism of interacting branes is actually more interesting as it carries the specific signatures of quantum gravity, which are absent from disordered field theories like the SYK model.
