nLab symplectic spinor

Idea

By analogy of spin and spin^c with Mp and Mp^c and in view of spin representations, the standard Segal-Shale-Weil metaplectic representation is also called the symplectic spinor representation.

Accordingly, an associated bundle for this representation is also called a symplectic spinor bundle (in analogy with spinor bundles). This plays a role in metaplectic quantization.

References

The original article is

• Bertram Kostant, Symplectic Spinors Symposia Mathematica, Vol. XIV, pp. 139–152. Academic Press, London, 1974.

See also

• Wikipedia, Symplectic spinor bundle