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PreprintCC BY 4.0arXiv

Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories

  • Luigi Alfonsi
  • Leron Borsten
  • Mehran Jalali Farahani
  • Hyungrok Kim
  • Martin Wolf
  • Charles A. S. Young
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Abstract

We exhibit a classical link between higher Lax integrability and generalized symmetries in a non-Lorentzian higher semi-holomorphic Chern--Simons theory on M×ℂP1. The equations of motion determine a spectrally dependent flat higher connection on M whose Laurent coefficients organise an infinite hierarchy of conserved quantities. We construct a spectral family of classical (dM−2)-form symmetry line defects associated with the Lax connection, establish an action-preserving deformation law, and exhibit suitable gauge-invariant probes on which the induced transformations act nontrivially.

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Cite

BibTeXRIS
BibTeX
@misc{alfonsi2026higher,
  title = {{Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories}},
  author = {Luigi Alfonsi and Leron Borsten and Mehran Jalali Farahani and Hyungrok Kim and Martin Wolf and Charles A. S. Young},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06507},
  eprint = {2611.06507},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06507},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories
AU  - Luigi Alfonsi
AU  - Leron Borsten
AU  - Mehran Jalali Farahani
AU  - Hyungrok Kim
AU  - Martin Wolf
AU  - Charles A. S. Young
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06507
UR  - https://arxiv.org/abs/2611.06507
AB  - We exhibit a classical link between higher Lax integrability and generalized symmetries in a non-Lorentzian higher semi-holomorphic Chern--Simons theory on M×ℂP^1. The equations of motion determine a spectrally dependent flat higher connection on M whose Laurent coefficients organise an infinite hierarchy of conserved quantities. We construct a spectral family of classical (d_M−2)-form symmetry line defects associated with the Lax connection, establish an action-preserving deformation law, and exhibit suitable gauge-invariant probes on which the induced transformations act nontrivially.
ER  -