2003/03/16 by Benjamin Doyon, Doyon, Benjamin, James Lepowsky +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Number Theory (math.NT) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #hep-th #math.NT #math.QA #math.RT
paper · pdf · doi:10.48550/arxiv.math/0303193
15 pages, LaTeX, Revised version (to appear in I.M.R.N.)
arxiv created 2003/06/20 · arxiv updated 2009/11/30
Using general principles of the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie algebra of differential operators on the circle, for an arbitrary twisting automorphism. The construction involves the Bernoulli polynomials in a fundamental way. This is explained through results in the general theory of vertex operator algebras, including a new identity, which we call ``modified weak associativity.'' This paper is an announcement. The detailed proofs will appear elsewhere.