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Two-matrix model and c=1 string theory
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abstract
We show that the most general two--matrix model with bilinear coupling underlies $c=1$ string theory. More precisely we prove that $W_{1+\infty}$ constraints, a subset of the correlation functions and the integrable hierarchy characterizing such two--matrix model, correspond exactly to the $W_{1+\infty}$ constraints, to the discrete tachyon correlation functions and to the integrable hierarchy of the $c=1$ string.
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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.
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