$\sigma$ and three fundamental conformal boundary conditions with boundary states [@Cardy] \[conf\_bcs\] |= , |F= |0- | . Here $|0\rangle\!\rangle $, $|\epsilon \rangle\!\rangle $, $|\sigma\rangle\!\rangle $ stand for the Ishibashi states built on the respective primaries: ${\bf 1}$, $\epsilon$, and $\sigma$. The boundary states $|\pm\rangle\!\rangle$ describe the fixed spin while $ |F\rangle\!\rangle $ describes the free spin boundary condition. The theory has two relevant perturbations - temperature and magnetic field that are described by mass $m$ and magnetic field coupling $h$ in the free fermion theory: \[IFT\] S\_[IFT]{}=(|+ ||+ im|) d\^2 x + h d\^2 x . For real values of the couplings $m$, $h$ all flows are massive and our results regarding the corresponding RG boundaries are summarised on the diagram presented below. We parameterise an outgoing RG trajectory for Ising field theory by points on a circle on the $m,h$-plane. For all points on the upper semicircle except for the points on the $h=0$ axis the RG boundary condition is $|+\rangle\!\rangle$ and similarly for all points on the lower semicircle we have $|-\rangle\!\rangle$. The exceptional points are those on the $h=0$ axis. For $h=0, m>0$ we obtain a superposition $|+\rangle\!\rangle \oplus |-\rangle\!\rangle$ while for $h=0,m<0$ we obtain $|F\rangle\!\rangle$.

