Borwein Identity and Vertex Operator Algebras Original Research Article

We will prove the Borwein identity by computing the characters of some automorphisms of the lattice vertex operator algebra (VOA) of type E6. As similar examples, we will prove two identities containing the famous Jacobi identity, which was also obtained from the VOA of type D4 by Frenkel–Lepowsky–Meurman. Our method is a variant of observations made by the above authors.