Conformal Defects in Neural Network Field Theories

Pietro Capuozzo, Brandon Robinson, Benjamin Suzzoni
12/8/2025
hep-thcs.LG

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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.

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Cite this paper

@article{capuozzo2025conformal,
  title  = {Conformal Defects in Neural Network Field Theories},
  author = {Pietro Capuozzo and Brandon Robinson and Benjamin Suzzoni},
  year   = {2025},
  eprint = {2512.07946},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2512.07946v1}
}

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