The Nonlocal Involutive Charges of the CFT ${\mathcal{M}}_{3,4}$

We consider continuum minimal ${\mathcal{M}}_{3,4}$ with central charge $c=1\mathrm{/}2$. The eigenvalues of the known local involutive charges are known to be related to spectral zeta functions of suitable one dimensional shroedinger hamiltonians. We investigate this connection. We Propose analytic formulae for the eigenvalues of Nonlocal Involutive Charges. We also propose an exact formula for the eigenvalues of the $\mathrm{\Psi }$ function of BLZ at central charge $c=1\mathrm{/}2$ which reduces to the local non local and dual non local involutive charges for special values on the imaginary axis.