@misc{giombi2019models, title={$O(N)$ Models with Boundary Interactions and their Long Range Generalizations}, author={Simone Giombi and Himanshu Khanchandani}, year={2019}, eprint={1912.08169}, archivePrefix={arXiv}, primaryClass={hep-th}, doi={10.1007/JHEP08(2020)010}, url={https://arxiv.org/abs/1912.08169} }