nLab higher curvature corrections to D=11 supergravity -- references

Higher curvature corrections to $D=11$ supergravity

Discussion of higher curvature corrections to 11-dimensional supergravity (i.e. in M-theory):

• Arkady Tseytlin, $R^4$ terms in 11 dimensions and conformal anomaly of (2,0) theory, Nucl. Phys. B584: 233-250, 2000 (arXiv:hep-th/0005072)

Via 11d superspace cohomology

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)

• Paul S. Howe, Dimitrios Tsimpis, On higher-order corrections in M theory, JHEP 0309 (2003) 038 [doi:10.1088/1126-6708/2003/09/038, arXiv:hep-th/0305129]

• Dimitrios Tsimpis, 11D supergravity at $\mathcal{O}(\ell^3)$, JHEP0410:046 (2004) [arXiv:hep-th/0407271, doi:10.1088/1126-6708/2004/10/046]

• Paul Howe, $R^4$ terms in supergravity and M-theory, contribution to Deserfest: A Celebration of the Life and Works of Stanley Deser (2004) 137-149 [inspire:657136, arXiv:hep-th/0408177]

• Martin Cederwall, Ulf Gran, Bengt Nilsson, Dimitrios Tsimpis, Supersymmetric Corrections to Eleven-Dimensional Supergravity, JHEP 0505:052 (2005) [doi;10.1088/1126-6708/2005/05/052, 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) [doi:10.1103/PhysRevD.95.026013, arXiv:1612.02021]

• Bertrand Souères, Supergravities in Superspace, Lyon 2018 (tel:[phone], pdf)

Via superparticle scattering in 11d

Via analysis of would-be superparticle scattering amplitudes on D=11 supergravity backgrounds:

• Kasper Peeters, Jan Plefka, Steffen Stern, Higher-derivative gauge field terms in the M-theory action, JHEP 0508 (2005) 095 (arXiv:hep-th/0507178)

Via exceptional geometry

Via geodesic motion on the coset space of the U-duality Kac-Moody group $E_{10}$ by its “maximal compact” subgroup $K(E_{10})$:

• Thibault Damour, Hermann Nicolai: Higher order M theory corrections and the Kac-Moody algebra $E_{10}$, Class. Quant. Grav. 22 (2005) 2849-2880 [arXiv:hep-th/0504153, doi:10.1088/0264-9381/22/14/003]

  (relating to higher curvature corrections)

Via lifting 10d stringy corrections

From lifting alpha'-corrections in type IIA string theory through the duality between M-theory and type IIA string theory:

• James Liu, Ruben Minasian, Higher-derivative couplings in string theory: dualities and the B-field, Nucl. Phys. B 2013 (arXiv:1304.3137)

Via type IIB supergravity:

• James Liu, Ruben Minasian, Raffaele Savelli, Andreas Schachner, Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles $[$arXiv:2205.11530$]$

Via the ABJM M2-brane model

From the ABJM model for the M2-brane:

• Damon J. Binder, Shai Chester, Silviu S. Pufu, Absence of $D^4 R^4$ in M-Theory From ABJM [arXiv:1808.10554]

In terms of D=4 supergravity:

• Nikolay Bobev, Anthony M. Charles, Kiril Hristov, Valentin Reys, The Unreasonable Effectiveness of Higher-Derivative Supergravity in $AdS_4$ Holography, Phys. Rev. Lett. 125 131601 (2020) [doi:10.1103/PhysRevLett.125.131601, arXiv:2006.09390]

• Nikolay Bobev, Anthony M. Charles, Dongmin Gang, Kiril Hristov, Valentin Reys, Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$, J. High Energ. Phys. 2021 58 (2021) [doi:10.1007/JHEP04(2021)058, arXiv:2011.05971]

• Kiril Hristov, ABJM at finite $N$ via 4d supergravity, J. High Energ. Phys. 2022 190 (2022) [doi:10.1007/JHEP10(2022)190, arXiv:2204.02992]

See also

See also

• Mohammad Garousi, Minimal gauge invariant couplings at order $\ell^6_p$ in M-theory (arXiv:2102.00639)

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:

• Johan Blåbäck, Ulf Danielsson, Giuseppe Dibitetto, Suvendu Giri, Constructing stable de Sitter in M-theory from higher curvature corrections (arXiv:1902.04053)