At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.
The Topological Matrix Model Of c=1 String
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abstract
We derive a Kontsevich-type matrix model for the c=1 string directly from the W-infinity solution of the theory. The model that we obtain is different from previous proposals, which are proven to be incorrect. Our matrix model contains the Penner and Kontsevich cases, and we study its quantum effective action. The simplicity of our model leads to an encouraging interpretation in the context of background-independent noncritical string field theory.
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$c=1$, $R=1$ and $N\gg 1$: ZZ instantons in 2D String Theory and Matrix Integrals
At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.