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the claim

Goldstone bosons take values in a coset space of the symmetry groups.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
7 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 Goldstone bosons take values in a coset space of the symmetry groups?

Yes. Goldstone bosons are well-established in physics as taking values in the coset space of spontaneously broken symmetry groups.

Verdict: SUPPORTED · 7 sources for, 0 against · Last checked

The analysis

Multiple physics papers across different domains (condensed matter, particle physics, holography, and chiral perturbation theory) consistently state and utilize the property that Nambu-Goldstone bosons parameterize a coset space G/H corresponding to the quotient of the full symmetry group by the unbroken subgroup.

Evidence for · 7
Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems
2010
Discusses the mathematics of spontaneous symmetry breaking and the resulting Nambu-Goldstone bosons.
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Brauner, T. (2010). Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems. doi.org. https://doi.org/10.3390/sym2020609

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More for · 6
The infrared structure of Nambu-Goldstone bosons
2018
Notes that the construction of effective actions for Nambu-Goldstone bosons usually requires a target coset space G/H.
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Low, I. & Yin, Z. (2018). The infrared structure of Nambu-Goldstone bosons. doi.org. https://doi.org/10.1007/JHEP10(2018)078

The unnatural composite Higgs
2014
Identifies pseudo Nambu-Goldstone bosons corresponding to specific coset spaces such as SU(7)/SU(6) x U(1).
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Barnard, J., Gherghetta, T., Ray, T., & Spray, A. (2014). The unnatural composite Higgs. doi.org. https://doi.org/10.1007/JHEP01(2015)067

Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
2021
Examines the symmetry breaking pattern SO(5) -> SO(4) yielding a coset space realization.
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Elander, D. & Piai, M. (2021). Towards top-down holographic composite Higgs: minimal coset from maximal supergravity. doi.org. https://doi.org/10.1007/JHEP03(2022)049

Low-energy limit of the extended Linear Sigma Model
2016
Shows that the low-energy effective action of pions as Nambu-Goldstone bosons corresponds to a representative of the coset space.
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Divotgey, F., Kovács, P., Giacosa, F., & Rischke, D. (2016). Low-energy limit of the extended Linear Sigma Model. doi.org. https://doi.org/10.1140/epja/i2018-12458-9

Coupling between Majorana fermions and Nambu-Goldstone bosons inside a non-Abelian vortex in dense QCD
2016
Mentions CP^2 Nambu-Goldstone bosons associated with a non-Abelian vortex.
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Chatterjee, C., Cipriani, M., & Nitta, M. (2016). Coupling between Majorana fermions and Nambu-Goldstone bosons inside a non-Abelian vortex in dense QCD. doi.org. https://doi.org/10.1103/PhysRevD.93.065046

Soft wall holographic model for the minimal composite Higgs boson
2020
Identifies spin zero states from the SO(5)/SO(4) coset space corresponding to massless Goldstone bosons.
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Espriu, D. & Katanaeva, A. (2020). Soft wall holographic model for the minimal composite Higgs boson. doi.org. https://doi.org/10.1103/PHYSREVD.103.055006

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What does the evidence say?

Multiple physics papers across different domains (condensed matter, particle physics, holography, and chiral perturbation theory) consistently state and utilize the property that Nambu-Goldstone bosons parameterize a coset space G/H corresponding to the quotient of the full symmetry group by the unbroken subgroup.

Receipt History
first checked06 Aug 2026
judged → SUPPORTED · 8806 Aug 2026
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