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superalgebra and (synthetic ) supergeometry
As opposed to ordinary Minkowski spacetime, super Minkowski spacetime has, when regarded as the super translation Lie algebra, exceptional cocycles. The super L-infinity algebra extensions classified by these serve as extended super-spacetimes which are target spaces for super -branes.
Notably the supergravity Lie 3-algebra is the extended Minkowski spacetime on which superspacetimes of 11-dimensional supergravity are modeled.
Discussion in the language of the D'Auria-Fre formulation of supergravity (“FDA”s) and the brane scan is in
C. Chryssomalakos, José de Azcárraga, José M. Izquierdo, C. Pérez Bueno, The geometry of branes and extended superspaces, Nucl. Phys. B 567 (2000) 293-330 [arXiv:hep-th/9904137, doi:10.1016/S0550-3213(99)00512-X]
Makoto Sakaguchi, IIB-Branes and New Spacetime Superalgebras, JHEP 0004 (2000) 019 (arXiv:hep-th/9909143)
José de Azcárraga, J. M. Izquierdo, Superalgebra cohomology, the geometry of extended superspaces and superbranes, Nucl.Phys.B567:293-330,2000 (arXiv:hep-th/0105125)
and particularly with emphasis of the extended super Minkowski spacetimes as targets for the Green-Schwarz super-p brane sigma models with gauge fields on the worldvolume (tensor multiplets) in
Discussion that makes the super L-infinity algebra homotopy theory underlying this manifest is in
Last revised on June 19, 2023 at 14:41:26. See the history of this page for a list of all contributions to it.