232 research outputs found
New twisted quantum current algebras
We introduce a twisted quantum affine algebra associated to each simply laced
finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with
a Drinfeld-type comultiplication. We obtain this algebra by considering its
vertex representation. The vertex representation quantizes the twisted vertex
operators of Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We also introduce a
twisted quantum loop algebra for the Kac-Moody case and give its level one
representation.Comment: 10 pages, Amslatex, revised versio
Toroidal Lie superalgebras and free field representations
A loop-algebraic presentation is given for toroidal Lie superalgebras of
classical types. Based on the loop superalgebra presentation free field
realizations of toroidal Lie superalgebras are constructed for types ,
, C(n) and .Comment: 23 page
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