A formula is proposed which expresses free fermion fields in 2K dimensions in terms of the Cartan currents of the free fermion current algebra. This leads, in an obvious manner, to a vertex operator construction of non-Abelian free fermion current algebras in arbitrary even dimensions. It is conjectured that these ideas may generalize to a wide class of conformal field theories.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)