标题： 一种相互作用的高阶导数边界共形场理论 显示英文标题

标题： An Interacting, Higher Derivative, Boundary Conformal Field Theory

摘要： 我们考虑在存在边界的情况下具有高阶导数的标量场理论以及经典上边缘的相互作用。 我们首先研究自由极限，其中标量满足克莱因-戈登方程的平方。 在精确的$d=6$维度中，由$d-2$和$d-4$维度的主要生成的模合并形成一个交错模。 我们计算与此模相关的共形块，并证明它是卡西米尔算子的广义本征向量。 接下来我们考虑涉及四个标量场和两个导数的经典边缘相互作用的影响。 该理论在$d=6-{\epsilon}$维度中有一个红外固定点。 我们计算在允许的共形边界条件下，${\epsilon}$展开中的领先阶数下边界算符的反常维数和边界 OPE 系数。 显示英文摘要

摘要： We consider a higher derivative scalar field theory in the presence of a boundary and a classically marginal interaction. We first investigate the free limit where the scalar obeys the square of the Klein-Gordon equation. In precisely $d=6$ dimensions, modules generated by $d-2$ and $d-4$ dimensional primaries merge to form a staggered module. We compute the conformal block associated with this module and show that it is a generalized eigenvector of the Casimir operator. Next we include the effect of a classically marginal interaction that involves four scalar fields and two derivatives. The theory has an infrared fixed point in $d=6-{\epsilon}$ dimensions. We compute boundary operator anomalous dimensions and boundary OPE coefficients at leading order in the ${\epsilon}$ expansion for the allowed conformal boundary conditions.