0912.0789 (Mauricio Valenzuela)

Higher-spin symmetries of the free Schrodinger equation    [PDF]

Mauricio Valenzuela

It is shown that the Schrodinger symmetry algebra of a free particle in d
spatial dimensions can be embedded into a representation of the higher-spin
algebra. The latter spans an infinite dimensional algebra of higher-order
symmetry generators of the free Schrodinger equation. An explicit
representation of the maximal finite dimensional subalgebra of the higher spin
algebra is given in terms of non-relativistic generators. We show also how to
convert the Vasiliev equations into an explicit non-relativistic covariant
form, such that they may apply to non-relativistic systems. Our procedure
reveals that the space of solutions of the Schrodinger equation can be regarded
also as a supersymmetric module.

View original: http://arxiv.org/abs/0912.0789