"Induced" N=4 conformal supergravity
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.
Cite
@article{arxiv.1209.0416,
title = {"Induced" N=4 conformal supergravity},
author = {I. L. Buchbinder and N. G. Pletnev and A. A. Tseytlin},
journal= {arXiv preprint arXiv:1209.0416},
year = {2017}
}
Comments
13 pages. v2: minor misprints corrected; v3: note added about missed terms in the action