# Free □k scalar conformal field theory

@article{Brust2017FreeS, title={Free □k scalar conformal field theory}, author={Christopher Brust and Kurt Hinterbichler}, journal={Journal of High Energy Physics}, year={2017}, volume={2017}, pages={1-52} }

A bstractWe consider the generalizations of the free U(N ) and O(N ) scalar conformal field theories to actions with higher powers of the Laplacian □k, in general dimension d. We study the spectra, Verma modules, anomalies and OPE of these theories. We argue that in certain d and k, the spectrum contains zero norm operators which are both primary and descendant, as well as extension operators which are neither primary nor descendant. In addition, we argue that in even dimensions d ≤ 2k, there… Expand

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