On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
arXiv:1009.0727 · doi:10.1007/JHEP11(2010)086
Abstract
We construct an off-shell extension of cubic interaction vertices between massless bosonic Higher Spin fields on a flat background which can be obtained from perturbative bosonic string theory. We demonstrate how to construct higher quartic interaction vertices using a simple particular example. We examine whether BCFW recursion relations for interacting Higher Spin theories are applicable. We argue that for several interesting examples such relations should exist, but consistency of the theories might require that we supplement Higher Spin field theories with extended and possibly non-local objects.
34 pages; v2 fixed typos, added acknowledgments and references, several explanations and corrections in section 6, conclusions unchanged; v3 35 pages, references added, typos fixed, version accepted for publication by JHEP
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