论文标题
自由衍生式保形场理论中的边界
Boundaries in Free Higher Derivative Conformal Field Theories
论文作者
论文摘要
我们认为在一般维度的边界存在下，标量和狄拉克·费米子的自由较高衍生理论。我们通过从频谱中删除某些边界初选来建立一种在这些理论中找到一致的保形边界条件的方法。揭示了在边界初选中的变形二次触发的各种共形边界条件之间的一组丰富的重新规定基团流。我们在半球上计算了这些理论的自由能，并表明由于批量非军事而言，边界$ a $ a $理论通常沿边界流违反。我们通过计算位移操作员的两点函数来进一步表征边界理论。
We consider free higher derivative theories of scalars and Dirac fermions in the presence of a boundary in general dimension. We establish a method for finding consistent conformal boundary conditions in these theories by removing certain boundary primaries from the spectrum. A rich set of renormalization group flows between various conformal boundary conditions is revealed, triggered by deformations quadratic in the boundary primaries. We compute the free energy of these theories on a hemisphere, and show that the boundary $a$-theorem is generally violated along boundary flows as a consequence of bulk non-unitarity. We further characterize the boundary theory by computing the two-point function of the displacement operator.
