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arxiv: hep-th/9503145 · v2 · submitted 1995-03-21 · ✦ hep-th

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Vertex Operators in 2K Dimensions

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classification ✦ hep-th
keywords fermionfreecurrentdimensionsvertexalgebraalgebrasarbitrary
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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 nonabelian free fermion current algebras in arbitrary even dimension. It is conjectured that these ideas may generalize to a wide class of conformal field theories.

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