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the claim

Noether charges exist for local symmetries

the verdict
SUPPORTED
the evidence backs this
Recorded sources
3 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that Noether charges exist for local symmetries?

Yes. Local symmetries (gauge symmetries) in field theories and general relativity give rise to associated Noether charges or superpotentials, often localized at boundaries or formulated via Noether's second theorem.

Verdict: SUPPORTED · 3 sources for, 0 against · Last checked

The analysis

The retrieved papers provide robust support from multiple theoretical and mathematical physics perspectives (such as Noether's second theorem, gauge theory, and general relativity) showing that local symmetries do indeed give rise to Noether charges, fluxes, or superpotentials.

Evidence for · 3
Local subsystems in gauge theory and gravity
2016
Discusses how local symmetries (such as in Yang-Mills and gravity) lead to charges and degrees of freedom associated with boundaries and surfaces.
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Donnelly, W. & Freidel, L. (2016). Local subsystems in gauge theory and gravity. doi.org. https://doi.org/10.1007/jhep09(2016)102

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More for · 2
Currents and superpotentials in classical gauge-invariant theories: I. Local results with applications to perfect fluids and general relativity
1998
Analyzes how Noether's analysis applies to gauge-invariant theories with local symmetries, leading to superpotentials and boundary charges.
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Julia, B. L. & Silva, S. (1998). Currents and superpotentials in classical gauge-invariant theories: I. Local results with applications to perfect fluids and general relativity. doi.org. https://doi.org/10.1088/0264-9381/15/8/006

Noether’s second theorem and Ward identities for gauge symmetries
2016
Applies Noether's second theorem to local gauge symmetries and diffeomorphisms to derive identities and charges like those associated with large gauge transformations.
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Avery, S. G. & Schwab, B. U. W. (2016). Noether’s second theorem and Ward identities for gauge symmetries. doi.org. https://doi.org/10.1007/jhep02(2016)031

What does the evidence say?

The retrieved papers provide robust support from multiple theoretical and mathematical physics perspectives (such as Noether's second theorem, gauge theory, and general relativity) showing that local symmetries do indeed give rise to Noether charges, fluxes, or superpotentials.

Receipt History
first checked31 Jul 2026
judged → SUPPORTED · 9131 Jul 2026
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