Partially massless higher-spin theory II: one-loop effective actions

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• 作者：Christopher Brust ; Kurt Hinterbichler
• 关键词：Keywords ; Higher Spin Gravity ; Higher Spin Symmetry ; AdS ; CFT Correspondence
• 刊名：Journal of High Energy Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：2017
• 期：1
• 全文大小：567KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Elementary Particles, Quantum Field Theory; Quantum Field Theories, String Theory; Classical and Quantum Gravitation, Relativity Theory; Quantum Physics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1029-8479
• 卷排序：2017

文摘

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. The results provide evidence that the theory is UV complete and one-loop exact, and we conjecture and provide evidence for a map between the inverse Newton’s constant of the partially massless higher-spin theory and the number of colors in the dual CFT.