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arXiv · 1209.0416

"Induced" N=4 conformal supergravity

I. L. Buchbinder·N. G. Pletnev·A. A. Tseytlin
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Abstract

We consider an abelian N=4 super Yang-Mills theory coupled to background N=4 conformal supergravity fields. At the classical level, this coupling is invariant under global SU(1,1) transformation of the complex ("dilaton-axion") supergravity scalar combined with an on-shell vector-vector duality. We compute the divergent part of the corresponding quantum effective action found by integrating over the super Yang-Mills fields and demonstrate its SU(1,1) invariance. This divergent part related to the conformal anomaly is one-loop exact and should be given by the N=4 conformal supergravity action containing the Weyl tensor squared term. This allows us to determine the full non-linear form of the bosonic part of the N=4 conformal supergravity action which has manifest SU(1,1) invariance.

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I. L. Buchbinder, N. G. Pletnev, A. A. Tseytlin. 2017-02-24. "Induced" N=4 conformal supergravity. https://doi.org/10.1016/j.physletb.2012.09.038

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