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arxiv: 1805.11941 · v4 · submitted 2018-05-30 · ✦ hep-th

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Homotopy Operators and Locality Theorems in Higher-Spin Equations

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classification ✦ hep-th
keywords localityequationshigher-spinhomotopyoperatorsshiftedclasscondition
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A new class of shifted homotopy operators in higher-spin gauge theory is introduced. A sufficient condition for locality of dynamical equations is formulated and Pfaffian Locality Theorem identifying a subclass of shifted homotopies that decrease the degree of non-locality in higher orders of the perturbative expansion is proven.

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  1. Self-dual gravity from higher-spin theory

    hep-th 2026-03 unverdicted novelty 6.0

    Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.