{"ID":2831828,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.07946","arxiv_id":"2512.07946","title":"Conformal Defects in Neural Network Field Theories","abstract":"Neural Network Field Theories (NN-FTs) represent a novel construction of arbitrary field theories, including those of conformal fields, through the specification of the network architecture and prior distribution for the network parameters. In this work, we present a formalism for the construction of conformally invariant defects in these NN-FTs. We demonstrate this new formalism in two toy models of NN scalar field theories. We develop an NN interpretation of an expansion akin to the defect OPE in two-point correlation functions in these models.","short_abstract":"Neural Network Field Theories (NN-FTs) represent a novel construction of arbitrary field theories, including those of conformal fields, through the specification of the network architecture and prior distribution for the network parameters. In this work, we present a formalism for the construction of conformally invari...","url_abs":"https://arxiv.org/abs/2512.07946","url_pdf":"https://arxiv.org/pdf/2512.07946v2","authors":"[\"Pietro Capuozzo\",\"Brandon Robinson\",\"Benjamin Suzzoni\"]","published":"2025-12-08T19:00:03Z","proceeding":"hep-th","tasks":"[\"hep-th\",\"cs.LG\"]","methods":"[]","has_code":false}