Geometric tool kit for higher spin gravity (part I): An introduction to the geometry of differential operators
arXiv:2301.08069 · doi:10.1142/S0217751X2330003X
Abstract
These notes provide an introduction to the algebra and geometry of differential operators and jet bundles. Their point of view is guided by the leitmotiv that higher-spin gravity theories call for higher-order generalisations of Lie derivatives and diffeomorphisms. Nevertheless, the material covered here may be of general interest to anyone working on topics where geometrical (coordinate-free, global, generic) and mathematically rigorous definitions of differential operators are required.
arXiv comment62 pages, no figure, v2: minor typos fixed, to be published in IJMPA