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Spin-Locality of Higher-Spin Theories and Star-Product Functional Classes | | O.A.Gelfond
; M.A.Vasiliev
; | | Date: |
1 Oct 2019 | | Abstract: | The analysis of spin-locality of higher-spin gauge theory is formulated in
terms of star-product functional classes appropriate for the $eta o -infty$
limiting shifted homotopy proposed recently in arXiv:1909.04876 where all
$omega^2 C^2$ higher-spin vertices were shown to be spin-local. For the
$eta o -infty$ limiting shifted contracting homotopy we identify the class
of functions ${mathcal H}^{+0}$, that do not contribute to the r.h.s. of HS
field equations at a given order. A number of theorems and relations that
organize analysis of the higher-spin equations are derived including extension
of the Pfaffian Locality Theorem of arXiv:1805.11941 to the $eta$-shifted
contracting homotopy and the relation underlying locality of the $omega^2 C^2$
sector of higher-spin equations.
Space-time interpretation of spin-locality of theories involving infinite
towers of fields is proposed as the property that the theory is space-time
local in terms of original constituent fields $Phi$ and their local currents
$J(Phi)$ of all ranks. Spin-locality is argued to be a proper substitute of
locality for theories with finite sets of fields for which the two concepts are
equivalent. | | Source: | arXiv, 1910.0487 | | Services: | Forum | Review | PDF | Favorites | |
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