Anomalies and divergences in N=4 supergravity - INSPIRE

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Anomalies and divergences in N=4 supergravity

Dec, 2012

15 pages

Published in:

Phys.Lett.B 719 (2013) 424-429

Published: Feb 26, 2013

e-Print:

1212.0841 [hep-th]

DOI:

10.1016/j.physletb.2013.01.021

Report number:

CPHT-RR-005-1212,
KCL-MTH-12-12,
IMPERIAL-TP-12-KSS-02

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Abstract: (Elsevier)

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>=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.

Note:

15 pages, version published in Phys. Lett. B

duality: invariance
supergravity: 4
symmetry: SL(2,R)
off-shell
anomaly
quantization
superspace

References(42)

Figures(0)

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