Conformal invariance from non-conformal gravity

Details Conformal invariance from non-conformal gravity Conformal invariance from non-conformal gravity

2009-07-20

arxiv.org/abs/0907.3298v1

Phys.Rev.D80:086005,2009

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1103/PhysRevD.80.086005

We discuss the conditions under which classically conformally invariant models in four dimensions can arise out of non-conformal (Einstein) gravity. As an `existence proof' that this is indeed possible we show how to derive N=4 super Yang Mills theory with any compact gauge group G from non-conformal gauged N=4 supergravity as a special flat space limit. We stress the role that the anticipated UV finiteness of the (so far unknown) underlying theory of quantum gravity would have to play in such a scheme, as well as the fact that the masses of elementary particles would have to arise via quantum gravitational effects which mimic the conformal anomalies of standard (flat space) UV divergent quantum field theory.

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