nLab dual graviton




Fields and quanta

fields and particles in particle physics

and in the standard model of particle physics:

force field gauge bosons

scalar bosons

matter field fermions (spinors, Dirac fields)

flavors of fundamental fermions in the
standard model of particle physics:
generation of fermions1st generation2nd generation3d generation
quarks (qq)
up-typeup quark (uu)charm quark (cc)top quark (tt)
down-typedown quark (dd)strange quark (ss)bottom quark (bb)
neutralelectron neutrinomuon neutrinotau neutrino
bound states:
mesonslight mesons:
pion (udu d)
ρ-meson (udu d)
ω-meson (udu d)
ϕ-meson (ss¯s \bar s),
kaon, K*-meson (usu s, dsd s)
eta-meson (uu+dd+ssu u + d d + s s)

charmed heavy mesons:
D-meson (uc u c, dcd c, scs c)
J/ψ-meson (cc¯c \bar c)
bottom heavy mesons:
B-meson (qbq b)
ϒ-meson (bb¯b \bar b)
proton (uud)(u u d)
neutron (udd)(u d d)

(also: antiparticles)

effective particles

hadrons (bound states of the above quarks)


in grand unified theory

minimally extended supersymmetric standard model




dark matter candidates


auxiliary fields



By dual graviton one refers to the dual of the graviton under electric-magnetic duality (e.g. Curtright 85, Hull 01, Bekaert-Boulanger-Henneaux 02, Godazger-Godazger-Nicolai 13, section 2.2).

Dual gravitons have been considered in particular for manifestly EM-duality-symmetric formulations of supergravity Lagrangians. See for instance (de Wit-Nicolai 13, section 6) and see at 3-d supergravity – possible gaugings.

The spin-2 dual graviton is described by the Curtright field in five spacetime dimensions. Dual graviton can be coupled to topological BF-theory in D = 5 (Bizdadea 09), so it should be also coupled with gravity as a BF theory in extra dimensions D > 4.


The dual graviton was maybe first discussed in

then further in

Discussion in the context of E7-exceptional generalized geometry includes

  • Hadi Godazgar, Mahdi Godazgar, Hermann Nicolai, Generalised geometry from the ground up, Journal of High Energy Physics February 2014, 2014:75 (arXiv:1307.8295)

Double-dual graviton:

Discussion in terms of E 11 E_{11} U-duality:

Coupling with topological BF-theory in

  • C. Bizdadea, E. M. Cioroianu, A. Danehkar, M. Iordache, S. O. Saliu, S. C. Sararu, Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model, The European Physical Journal C (Particles and Fields) October 2009, 63:491 (arXiv:0908.2169)

Last revised on August 25, 2022 at 10:29:06. See the history of this page for a list of all contributions to it.