Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras

Details Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras

1997-04-09

arxiv.org/abs/q-alg/9704008v3

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, Latex file. Two expository sections on vertex operator algebras and intertwining operator algebras are added. A mist

Scientific paper

We prove a generalized rationality property and a new identity that we call the ``Jacobi identity'' for intertwining operator algebras. Most of the main properties of genus-zero conformal field theories, including the main properties of vertex operator algebras, modules, intertwining operators, Verlinde algebras, and fusing and braiding matrices, are incorporated into this identity. Together with associativity and commutativity for intertwining operators proved by the author in \cite{H2} and \cite{H3}, the results of the present paper solve completely the problem of finding a natural purely algebraic structure on the direct sum of all inequivalent irreducible modules for a suitable vertex operator algebra. Two equivalent definitions of intertwining operator algebra in terms of this Jacobi identity are given.

Affiliated with

Also associated with

No associations

Rating

Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83088