Quantum Inconsistency of Einstein Supergravity

Details Quantum Inconsistency of Einstein Supergravity Quantum Inconsistency of Einstein Supergravity

2000-03-30

arxiv.org/abs/hep-th/0003282v3

Nucl.Phys. B594 (2001) 354-368

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, One figure, Latex. Published version

Scientific paper

10.1016/S0550-3213(00)00551-4

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.

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