2024/09/17 by Christopher P. Herzog, Herzog, Christopher P., Yanjun Zhou +1
Chemistry · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2409.11072
openalex publication_date 2024/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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-ε dimensions. We compute boundary operator anomalous dimensions and boundary OPE coefficients at leading order in the ε expansion for the allowed conformal boundary conditions.