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The $\sigma_-$ Cohomology Analysis for Coxeter HS $B_2$ model
High Energy Physics - Theory · Submitted 11 Feb 2026 · Published version
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is shown that one-forms $\omega$ in the $(adj \otimes adj)$ sector encode symmetric massless fields and partially massless fields of all spins and depth of masslessness.
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The abstract, sentence by sentence
The dynamical content of equations resulting from rank-two covariant derivatives in $B_2$ Coxeter theory in $AdS_4$ are analyzed in terms of $\sigma_-$-complexes. Primary fields and gauge-invariant differential operators on primary fields are classified for $(adj \otimes adj)$ one-form fields $\omega$ and $(tw\otimes adj)$ zero-form fields $C$. It is shown that one-forms $\omega$ in the $(adj \otimes adj)$ sector encode symmetric massless fields and partially massless fields of all spins and depth of masslessness. Gluing of the one-form module to the zero-form modules at the linear vertices is studied.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The dynamical content of equations resulting from rank-two covariant derivatives in $B_2$ Coxeter theory in $AdS_4$ are analyzed in terms of $\sigma_-$-complexes. | contribution 0.92 | 0.86 | 0.12 | asserted 0.97 |
| s1 | Primary fields and gauge-invariant differential operators on primary fields are classified for $(adj \otimes adj)$ one-form fields $\omega$ and $(tw\otimes adj)$ zero-form fields $C$. | contribution 0.89 | 0.84 | 0.10 | asserted 0.99 |
| s2 | It is shown that one-forms $\omega$ in the $(adj \otimes adj)$ sector encode symmetric massless fields and partially massless fields of all spins and depth of masslessness. | result 1.00 | 0.88 | 0.51 | asserted 1.00 |
| s3 | Gluing of the one-form module to the zero-form modules at the linear vertices is studied. | contribution 0.99 | 0.85 | 0.06 | asserted 0.78 |
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The paper
Original abstract
The dynamical content of equations resulting from rank-two covariant derivatives in $B_2$ Coxeter theory in $AdS_4$ are analyzed in terms of $\sigma_-$-complexes. Primary fields and gauge-invariant differential operators on primary fields are classified for $(adj \otimes adj)$ one-form fields $\omega$ and $(tw\otimes adj)$ zero-form fields $C$. It is shown that one-forms $\omega$ in the $(adj \otimes adj)$ sector encode symmetric massless fields and partially massless fields of all spins and depth of masslessness. Gluing of the one-form module to the zero-form modules at the linear vertices is studied.
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What this paper does with the arXiv papers it cites
What it cites · 47 sentences without a confident label
Contests 1 paper
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We determine that the standard homotopy with a zero shift used in [ref] produce vertices with additional non-cohomological terms.
Linearized Coxeter Higher-Spin Theories · Introduction · contest 0.74
Compares with 4 papers
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The $(adj⊗adj)$ fields describe massless and partially massless fields as $H^0,1,2(σ_-)$ match with previously known results for massless [ref] and partially massless [ref] fields.
Gauge fields in (A)dS within the unfolded approach: algebraic aspects · Conclusion · 0.94
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The $(adj⊗adj)$ fields describe massless and partially massless fields as $H^0,1,2(σ_-)$ match with previously known results for massless [ref] and partially massless [ref] fields.
The $\sigma_-$ Cohomology Analysis for Symmetric Higher-Spin Fields · Conclusion · 0.94
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In case of $λ_+ = 4$, for which the corresponding $𝔰𝔬(3,2)$ module survives a unitary truncation, we are left with [equation] which coincides with the analysis of [ref] .
Higher-Rank Fields and Currents · $H^1(σ_-)$ · 0.98
Cites as background 11 papers
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In this section we provide a brief introduction into the general CHS framework [ref] , recollect the analysis of $B_2$ CHS [ref] and outline the concept of $σ_-$ cohomology [ref] .
Linearized Coxeter Higher-Spin Theories · Coxeter HS model and $σ_-$ cohomology · 0.99
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In this section we provide a brief introduction into the general CHS framework [ref] , recollect the analysis of $B_2$ CHS [ref] and outline the concept of $σ_-$ cohomology [ref] .
Nonlinear higher spin theories in various dimensions · Coxeter HS model and $σ_-$ cohomology · 0.99
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In this section we provide a brief introduction into the general CHS framework [ref] , recollect the analysis of $B_2$ CHS [ref] and outline the concept of $σ_-$ cohomology [ref] .
Scalar Field in Any Dimension from the Higher Spin Gauge Theory Perspective · Coxeter HS model and $σ_-$ cohomology · 0.99
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