nLab type II supersymmetry algebra

Idea

A super Lie algebra which is a polyvector extension of the super Poincaré Lie algebra (supersymmetry) in $D = 9+1$ for $N=(2,0)$ or $N = (1,1)$ supersymmetry by charges corresponding to the type II superstring, the D-branes and the NS5-brane (“extended supersymmetry”).

Related concepts

• M-theory super Lie algebra

• type II supergravity Lie 2-algebra

• BPS state

References

The original articles include

• Paul Townsend, $p$-Brane Democracy (arXiv:hep-th/9507048)

• Chris Hull, section 2 of Gravitational Duality, Branes and Charges, Nucl.Phys. B509 (1998) 216-251 (arXiv:hep-th/9705162)

Detailed derivation from conserved currents of the Green-Schwarz super p-brane sigma models for the D-branes is in

• Hanno Hammer, Topological Extensions of Noether Charge Algebras carried by D-p-branes, Nucl.Phys. B521 (1998) 503-546 (arXiv:hep-th/9711009)

Relation to the orthosymplectic super Lie algebra $\mathfrak{osp}(1\vert 32)$ is discussed in

• Eric Bergshoeff, Antoine Van Proeyen, The many faces of $OSp(1|32)$, Class. Quantum Grav. 17 (2000) 3277–3303 (arXiv:hep-th/0003261)

See also

• Tatsuya Ueno, BPS States in 10+2 Dimensions, JHEP 0012:006,2000 (arXiv:hep-th/9909007)