Anomalies and divergences in \(\mathcal{N} = 4\) supergravity
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Publication:2405425
DOI10.1016/J.PHYSLETB.2013.01.021zbMATH Open1370.83101arXiv1212.0841OpenAlexW2051694801MaRDI QIDQ2405425
Author name not available (Why is that?)
Publication date: 25 September 2017
Published in: (Search for Journal in Brave)
Abstract: The invariants in D=4, N=4 supergravity are discussed up to the three-loop order (where one expects a general R^4 structure). Because there is an anomaly in the rigid SL(2,R) symmetry of this theory, the analysis of possible restrictions on three-loop divergences due to duality needs careful treatment. We show that this anomalous symmetry is still strong enough at the three-loop order to require duality invariance of candidate counterterms. Provided one makes the additional assumption that there exists a full 16-supercharge off-shell formulation of the theory, counterterms at L ge 2 loops would also have to be writable as full-superspace integrals. At the three-loop order such a duality-invariant full-superspace integral candidate counterterm exists, but its duality invariance is marginal in the sense that the full-superspace counter-Lagrangian is not itself duality invariant. We show that, subject to the assumption that a full off-shell quantisation formalism exists, such marginal invariants are not allowable as counterterms.
Full work available at URL: https://arxiv.org/abs/1212.0841
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