Bubbling Calabi-Yau geometry from matrix models

Details Bubbling Calabi-Yau geometry from matrix models Bubbling Calabi-Yau geometry from matrix models

2007-11-12

arxiv.org/abs/0711.1870v2

JHEP0803:028,2008

Physics

High Energy Physics

High Energy Physics - Theory

30 pages; v.2 reference added, minor corrections

Scientific paper

10.1088/1126-6708/2008/03/028

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.

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