Discussion of higher curvature corrections to 11-dimensional supergravity (i.e. in M-theory):
Via 11d superspace-cohomology (or mostly):
Kasper Peeters, Pierre Vanhove, Anders Westerberg, Supersymmetric $R^4$ actions and quantum corrections to superspace torsion constraints (arXiv:hep-th/0010182)
H. Lu, Christopher Pope, Kellogg Stelle, Paul Townsend, Supersymmetric Deformations of $G_2$ Manifolds from Higher-Order Corrections to String and M-Theory, JHEP 0410:019, 2004 (arXiv:hep-th/0312002)
(specifically for M-theory on G2-manifolds)
H. Lu, Christopher Pope, Kellogg Stelle, Paul Townsend, String and M-theory Deformations of Manifolds with Special Holonomy, JHEP 0507:075, 2005 (arXiv:hep-th/0410176)
(specifically for M-theory on G2-manifolds)
Dimitrios Tsimpis, 11D supergravity at $\mathcal{O}(\ell^3)$, JHEP0410:046, 2004 (arXiv:hep-th/0407271)
Paul Howe, $R^4$ terms in supergravity and M-theory (arXiv:hep-th/0408177)
Martin Cederwall, Ulf Gran, Bengt Nilsson, Dimitrios Tsimpis, Supersymmetric Corrections to Eleven-Dimensional Supergravity, JHEP0505:052, 2005 (arXiv:hep-th/0409107)
Yoshifumi Hyakutake, Sachiko Ogushi, $R^4$ Corrections to Eleven Dimensional Supergravity via Supersymmetry, Phys.Rev. D74 (2006) 025022 (arXiv:hep-th/0508204)
Yoshifumi Hyakutake, Sachiko Ogushi, Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry, JHEP0602:068, 2006 (arXiv:hep-th/0601092)
Anirban Basu, Constraining gravitational interactions in the M theory effective action, Classical and Quantum Gravity, Volume 31, Number 16, 2014 (arXiv:1308.2564)
Bertrand Souères, Dimitrios Tsimpis, The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity, Phys. Rev. D 95, 026013 (2017) (arXiv:1612.02021)
Bertrand Souères, Supergravities in Superspace, Lyon 2018 (tel:01998725, pdf)
Via analysis of would-be superparticle scattering amplitudes on D=11 supergravity backgrounds:
From lifting alpha'-corrections in type IIA string theory through the duality between M-theory and type IIA string theory:
From the ABJM model for the M2-brane:
See also
Discussion in view of the Starobinsky model of cosmic inflation is in
Katrin Becker, Melanie Becker, Supersymmetry Breaking, M-Theory and Fluxes, JHEP 0107:038,2001 (arXiv:hep-th/0107044)
Kazuho Hiraga, Yoshifumi Hyakutake, Inflationary Cosmology via Quantum Corrections in M-theory (arXiv:1809.04724)
Kazuho Hiraga, Yoshifumi Hyakutake, Scalar Cosmological Perturbations in M-theory with Higher Derivative Corrections (arxiv:1910.12483)
and in view of de Sitter spacetime vacua:
Last revised on March 31, 2021 at 14:01:45. See the history of this page for a list of all contributions to it.