nLab superisometry group

Idea

The analog of the concept of isometry group in supergeometry.

Related concepts

• Killing spinor

• BPS state

• super-diffeomorphism

• supersymmetry

• homeomorphism group

• diffeomorphism group, volume-preserving

• isometry group

• symplectomorphism group

• quantomorphism group

References

Discussion identifying twistor spinors (hence in particular Killing spinors) as infinitesimal superisometries is in

• Dmitri Alekseevsky, Vicente Cortés, Chandrashekar Devchand, Uwe Semmelmann, Killing spinors are Killing vector fields in Riemannian Supergeometry (arXiv:dg-ga/9704002)

Discussion regarding the conceptualization of Killing spinors in super-Cartan geometry is in

• Michel Egeileh, Fida El Chami, Some remarks on the geometry of superspace supergravity, J.Geom.Phys. 62 (2012) 53-60 (spire)

Discussion in string theory includes

• Paul Townsend, Killing spinors, supersymmetries and rotating intersecting branes, in Novelties in string theory (Göteborg, 1998), pp. 177–182. World Sci.

  Publishing, River Edge, NJ, 19 (arXiv:hep-th/9901102)

and specifically for type II supergravity:

• José Figueroa-O'Farrill, Emily Hackett-Jones, George Moutsopoulos, The Killing superalgebra of ten-dimensional supergravity backgrounds, Class.Quant.Grav.24:3291-3308,2007 (arXiv:hep-th/0703192)

and 11-dimensional supergravity

• José Figueroa-O'Farrill, Andrea Santi: On the algebraic structure of Killing superalgebras, Adv. Theor. Math. Phys 21 (2017) 1115–1160 [doi:10.4310/atmp.2017.v21.n5.a1, arXiv:1608.05915]

Discussion in the context of superconformal symmetry is in

• Piet Claus, Renata Kallosh, Superisometries of the $adS \times S$ Superspace, JHEP 9903:014,1999 (arXiv:hep-th/9812087)