Character integral representation of zeta function in AdS d+1 . Part II. Application to partially-massless higher-spin gravities
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In this paper, the one-loop free energies of the type-Al and type-Bl higher-spin gravities in (d + 1)-dimensional anti-de Sitter (AdSd+1) spacetime were computed.Abstract:
We compute the one-loop free energies of the type-Al and type-Bl higher-spin gravities in (d + 1)-dimensional anti-de Sitter (AdSd+1) spacetime. For large d and l, these theories have a complicated field content, and hence it is difficult to compute their zeta functions using the usual methods. Applying the character integral representation of zeta function developed in the companion paper [
arXiv:1805.05646
] to these theories, we show how the computation of their zeta function can be shortened considerably. We find that the results previously obtained for the massless theories (l = 1) generalize to their partially-massless counterparts (arbitrary l) in arbitrary dimensions.read more
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