nLab
type II supersymmetry algebra

Context

\infty-Lie theory

∞-Lie theory (higher geometry)

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Super-Geometry

String theory

Contents

Idea

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

References

The original articles include

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 𝔬𝔰𝔭(1|32)\mathfrak{osp}(1\vert 32) is discussed in

See also

Last revised on August 6, 2015 at 17:49:11. See the history of this page for a list of all contributions to it.