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Vertex operators for non-simply-laced algebras (1986)

Goddard, P. ; Nahm, W. ; Olive, D. ; [et al.]

Springer

Communications in mathematical physics 107 (1986), S. 179-212

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract A vertex operator construction is given for the level one representations of the affine Kac-Moody algebras associated with non-simply-laced finite-dimensional Lie algebras, using free boson and interacting fermion fields. The fermion fields are constructed explicitly and a detailed discussion is given of the theory of the cocycles necessary for this and other vertex operator constructions. The construction is related in detail to the folding of Dynkin diagrams and a generalisation of it yields Freudenthal's magic square.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01209391

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