IIB矩阵模型中的复制、平均和因子分解
Replicas, averaging and factorization in the IIB matrix model
摘要：
本文研究了IIB型（IKKT）矩阵模型中D膜构型的多个副本的配分函数。我们考虑淬火制度，其中小的波动的矩阵叠加到缓慢（淬火）的背景动力学，所以配分函数是一个整体平均的背景。相互作用的D-膜总是以简单的方式分解。另一方面，非相互作用的BPS配置可能会或可能不会因式分解取决于副本的数量，和他们的因式分解机制更多地涉及作为相应的鞍点解决方案（半虫洞）打破副本对称性。我们认为，相互作用膜的简单因式分解机制实际上更有趣，因为它携带着量子引力的特定特征，而这些特征在像SYK模型这样的无序场论中是不存在的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
