Boundaries in free higher derivative conformal field theories

We consider free higher derivative theories of scalars and Dirac fermions in the presence a boundary general dimension. establish method for finding consistent conformal conditions these by removing certain primaries from spectrum. A rich set renormalization group flows between various is revealed, triggered deformations quadratic primaries. compute energy on hemisphere, show that $a$-theorem generally violated along as consequence bulk non-unitarity. further characterize theory computing two-point function displacement operator.