In the Virasoro algebra, which is generated by Ln, one has the obvious subalgebra spanned by L−1 ,L1 and L0 which is isomorphic to the Lie algebra sl(2,R).
The Neveu schwarz super virasoro algebra, as defined in http://en.wikipedia.org/wiki/Super_Virasoro_algebra, is generated by Ln and Gr with r half integer. Here we also have a subalgebra if we restrict to L0, L1 and L−1 and G±12.
My question is, what is this algebra called? Does it also have a (super)matrix representation, that naturally extends sl(2,R)?
This post imported from StackExchange Physics at 2015-01-11 19:23 (UTC), posted by SE-user user2133437