The Schrödinger equation is locally equivalent to a gauge theory with one-form fields in 2+1D and two-form fields in 3+1D, with BF and Chern-Simons terms organizing electromagnetic couplings, anyons, Berry phases, and infrared structures.
New Symmetries of Massless QED
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In self-dual Yang-Mills the S-algebra becomes an algebra of 1-form symmetries whose 2-form currents link integrability to the equality of Carrollian corner charges and celestial chiral algebra modes.
Subleading Chern-Simons soft factors stay insensitive to perturbative 1/ℓ² de Sitter corrections, indicating topological universality at the amplitude level.
1-form symmetries in the QED soft sector generate asymptotic charges whose central extension implies soft photon theorems and fixes a two-soft-photon contact term.
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The Schrodinger Equation as a Gauge Theory
The Schrödinger equation is locally equivalent to a gauge theory with one-form fields in 2+1D and two-form fields in 3+1D, with BF and Chern-Simons terms organizing electromagnetic couplings, anyons, Berry phases, and infrared structures.
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Celestial 1-form symmetries
In self-dual Yang-Mills the S-algebra becomes an algebra of 1-form symmetries whose 2-form currents link integrability to the equality of Carrollian corner charges and celestial chiral algebra modes.
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Subleading Chern-Simons soft factors in perturbative de Sitter
Subleading Chern-Simons soft factors stay insensitive to perturbative 1/ℓ² de Sitter corrections, indicating topological universality at the amplitude level.
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Comments on Symmetry Operators, Asymptotic Charges and Soft Theorems
1-form symmetries in the QED soft sector generate asymptotic charges whose central extension implies soft photon theorems and fixes a two-soft-photon contact term.