R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry

Abstract

By applying Noether method to N=1 local supersymmetry in eleven dimensions, we obtained two candidates of R^4 corrections to the supergravity. The bosonic parts of these two completely match with the results obtained by type IIA string perturbative calculations. We also obtained 13 parameters which relate only fermionic terms.

arXiv comment9 pages, no figure, note added

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• Inflationary Cosmology via Quantum Corrections in M-theory
• One loop superstring effective actions and N=8 supergravity
• Higher Derivative Corrections in M-theory via Local Supersymmetry
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• Deformations of M-theory Killing superalgebras
• d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088
• Cosmological Perturbations via Quantum Corrections in M-theory
• Improvement of a provisional solution of the quantum-corrected field equations of d = 11 supergravity on flat R^4 times a compact hyperbolic 7-manifold, and modes that decay along the beam line outside the interaction region at the LHC
• Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability