Quantum Inconsistency of Einstein Supergravity
High Energy Physics - Theory
2009-10-31 v3
Abstract
We show that N=1, D=4 Einstein-frame supergravity is inconsistent at one loop because of an anomaly in local supersymmetry transformations. A Jacobian must be added to the Einstein-frame Lagrangian to cancel this anomaly. We show how the Jacobian arises from the super-Weyl field redefinition that takes the superspace Lagrangian to the Einstein frame. We present an explicit example which demonstrates that the Jacobian is necessary for one-loop scattering amplitudes to be frame independent.
Cite
@article{arxiv.hep-th/0003282,
title = {Quantum Inconsistency of Einstein Supergravity},
author = {Jonathan Bagger and Takeo Moroi and Erich Poppitz},
journal= {arXiv preprint arXiv:hep-th/0003282},
year = {2009}
}
Comments
16 pages, One figure, Latex. Published version