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2016

Partially Massless Higher-Spin Theory II: One-Loop Effective Actions

Brust, Christopher, Hinterbichler, Kurt

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We continue our study of a generalization of the D-dimensional linearized Vasiliev higher-spin equations to include a tower of partially massless (PM) fields.

We compute one-loop effective actions by evaluating zeta functions for both the "minimal" and "non-minimal" parity-even versions of the theory.
Specifically, we compute the log-divergent part of the effective action in odd-dimensional Euclidean AdS spaces for D=7 through 19 (dual to the a-type conformal anomaly of the dual boundary theory), and the finite part of the effective action in even-dimensional Euclidean AdS spaces for D=4 through 8 (dual to the free energy on a sphere of the dual boundary theory).
We pay special attention to the case D=4, where module mixings occur in the dual field theory and subtlety arises in the one-loop computation.

Partially Massless Higher-Spin Theory II: One-Loop Effective Actions · Around

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