Localized RG flows on composite defects and -theorem

D Ge, T Nishioka, S Shimamori - arXiv preprint arXiv:2408.04428, 2024 - arxiv.org
We consider a composite defect system where a lower-dimensional defect (sub-defect) is
embedded to a higher-dimensional one, and examine renormalization group (RG) flows …

Defects in the long-range O (N) model

L Bianchi, LS Cardinale, E de Sabbata - arXiv preprint arXiv:2412.08697, 2024 - arxiv.org
We initiate the study of extended excitations in the long-range O (N) model. We focus on line
and surface defects and we discuss the challenges of a naive generalization of the simplest …