Shifted Homotopy Analysis of the Linearized Higher-Spin Equations in Arbitrary Higher-Spin Background
| Autor: | Tarusov, A. A., Ushakov, K. A., Vasiliev, M. A. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP03(2023)128 |
| Popis: | 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 $\omega(Y)$ 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 $\omega(Y)$ 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 $\omega(Y)$ is shown not to affect the one-form higher-spin field $W$ in the first order and, hence, the form of the respective vertices. Comment: 24 pages; V2: The analysis is extended to the homotopy shifts dependent on the argument of the higher-spin zero-form $C(Y)$. A relaxed uniform $(y+p)$-shift is shown to respect the free higher-spin equations in $AdS_4$ the same time generating a one-parametric class of pairwise different interacting vertices. Acknowledgement added. Matches the published version |
| Databáze: | arXiv |
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