mlsanityData to 14 Oct 2026

Conformal Defects in Neural Network Field Theories

arXiv 2512.07946 ↗First posted 8 Dec 2025hep-th cs.LGcited by 3

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Abstract (arXiv)

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.

Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Builds on 7 of its 24 references that are in the map. First posted on arXiv 8 Dec 2025.

Builds on

7 of 24 references.

References · 7

  1. 2020Neural Networks and Quantum Field Theorycited by 61
  2. 2021Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlatorscited by 29
  3. 2021Building Quantum Field Theories Out of Neuronscited by 28
  4. 2023Neural Network Field Theories: Non-Gaussianity, Actions, and Localitycited by 22
  5. 2024Conformal Fields from Neural Networkscited by 11
  6. 2025Fermions and Supersymmetry in Neural Network Field Theoriescited by 6
  7. 2025The neural networks with tensor weights and emergent fermionic Wick rules in the large-width limitcited by 2

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 1; 2026: 2.

3 papers.

  1. 2025Virasoro Symmetry in Neural Network Field Theoriescited by 3
  2. 2026Topological Effects in Neural Network Field Theorycited by 2
  3. 2026Spinning Conformal Correlators from Neural Networkscited by 1