Vol. 234, No. 2, 2008

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Realizations of the four point affine Lie algebra sl(2, R) ⊕(ΩR⁄dR)

Ben Cox

Vol. 234 (2008), No. 2, 261–288
Abstract

We construct free field realizations of the four point algebra sl(2,R) R∕dR), where R = [t,t1,uu2 = t2 2bt + 1].

Keywords
Wakimoto modules, four point algebras, affine Lie algebras, Fock spaces
Mathematical Subject Classification 2000
Primary: 81R10, 17B67
Milestones
Received: 30 November 2006
Revised: 7 May 2007
Accepted: 23 May 2007
Published: 1 February 2008
Authors
Ben Cox
Department of Mathematics
University of Charleston
66 George Street
Charleston, SC 29424
United States
http://math.cofc.edu/faculty/cox/papers/