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arXiv · 2611.06507

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 $M\times\mathbb CP^1$. 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.

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Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani, Hyungrok Kim, Martin Wolf, Charles A. S. Young. 2026-11-04. Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories. https://arxiv.org/abs/2611.06507

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