A Matrix Big Bang
摘要
The light-like linear dilaton background represents a particularly simple time-dependent 1/2 BPS solution of critical type IIA superstring theory in ten dimensions. Its lift to M-theory, as well as its Einstein frame metric, are singular in the sense that the geometry is geodesically incomplete and the Riemann tensor diverges along a light-like subspace of codimension one. We study this background as a model for a big bang type singularity in string theory/M-theory. We construct the dual Matrix theory description in terms of a (1+1)-d supersymmetric Yang-Mills theory on a time-dependent world-sheet given by the Milne orbifold of (1+1)-d Minkowski space. Our model provides a framework in which the physics of the singularity appears to be under control.
引用
@article{arxiv.hep-th/0506180,
title = {A Matrix Big Bang},
author = {Ben Craps and Savdeep Sethi and Erik Verlinde},
journal= {arXiv preprint arXiv:hep-th/0506180},
year = {2009}
}
备注
25 pages, LaTeX; v2: discussion of singularity of Einstein frame metric added, references added