Square-root critical behavior conjecture for the formal two-matrix model

Let $F_0$ denote the planar free energy of the formal two-matrix model referred to in the source, and let $g_c$ be a critical point. The string susceptibility exponent is denoted by $\gamma$.

Square-root critical behavior conjecture. The formal matrix model has the asymptotic expansion

$$\frac{d}{d g}F_{0} \sim 2-2 \sqrt{1-g/g_{c}} \quad\text{as }g\rightarrow g_{c},$$

which implies that $\gamma=1/2$.

The conjecture is motivated by bootstrap data, curve fitting, and the expected critical behavior, although the proposed algebraic ansatz for $m_2$ is ruled out by the series expansion. The status of the asserted critical behavior is not resolved in the supplied text.