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Résumé |
I will give an overview of my work with Rajesh Gopakumar on deriving the closed
string dual to the simplest possible gauge theory, a Hermitian matrix integral.
These matrix theories are studied in the conventional 't Hooft limit, i.e. they do
not require any further double-scaling. I'll present and verify an explicit
operator dictionary between matrix traces and vertex operators in the dual closed
A- and B-model topological string worldsheet descriptions. I will discuss the more
general idea of open-closed-open triality which allows us to establish this
dictionary. Roughly, it shows there are two ways in which closed strings can be
reconstructed from gauge-theory Feynman diagrams. We will then sketch how the
tools of Strebel differentials and topological recursion reveal the underlying
mechanics of this open/closed string correspondence. I'll close by embedding our
results in the broader context of AdS/CFT. |
