Bubbling Calabi-Yau geometry from matrix models
High Energy Physics - Theory
2008-11-26 v2
Abstract
We study bubbling geometry in topological string theory. Specifically, we analyse Chern-Simons theory on both the 3-sphere and lens spaces in the presence of a Wilson loop insertion of an arbitrary representation. For each of these three manifolds we formulate a multi-matrix model whose partition function is the vev of the Wilson loop and compute the spectral curve. This spectral curve is the reduction to two dimensions of the mirror to a Calabi-Yau threefold which is the gravitational dual of the Wilson loop insertion. For lens spaces the dual geometries are new. We comment on a similar matrix model which appears in the context of Wilson loops in AdS/CFT.
Cite
@article{arxiv.0711.1870,
title = {Bubbling Calabi-Yau geometry from matrix models},
author = {Nick Halmagyi and Takuya Okuda},
journal= {arXiv preprint arXiv:0711.1870},
year = {2008}
}
Comments
30 pages; v.2 reference added, minor corrections