Fermionic Basis in Conformal Field Theory: The Free Fermion Point

In this work, we use the master function approach to describe the CFT limit of the six-vertex model at the free fermion point. Using the ODE/IM correspondence, we obtain an explicit form of the master function. This allows us to compute the asymptotic expansion of the function $\omega(\lambda, \mu)$ describing the expectation values of the fermionic basis operators. As a result, we describe the entire Virasoro module of the corresponding CFT, including the integrals of motion as well.