Shifted homotopy analysis of the linearized higher-spin equations in arbitrary higher-spin background

Autor: A. A. Tarusov, K. A. Ushakov, M. A. Vasiliev
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 3, Pp 1-22 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2023)128
Popis: Abstract Analysis of the first-order corrections to higher-spin equations is extended to homotopy operators involving shift parameters with respect to the spinor Y variables, the argument of the higher-spin connection ω(Y) and the argument of the higher-spin zero-form C(Y). It is shown that a relaxed uniform (y + p)-shift and a shift by the argument of ω(Y) respect the proper form of the free higher-spin equations and constitute a one-parametric class of vertices that contains those resulting from the conventional (no shift) homotopy. A pure shift by the argument of ω(Y) is shown not to affect the one-form higher-spin field W in the first order and, hence, the form of the respective vertices.
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