Mathematics – Quantum Algebra
Scientific paper
2011-02-09
Mathematics
Quantum Algebra
Scientific paper
We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a {\em tree algebra}. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over $\C$. We also show that the chiral WZW model of a simply connected simple compact Lie group gives rise to a tree algebra over $\Q$.
Kriz Igor
Xiu Yang
No associations
LandOfFree
Tree Algebras: An algebraic axiomatization of intertwining vertex operators 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 Tree Algebras: An algebraic axiomatization of intertwining vertex operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tree Algebras: An algebraic axiomatization of intertwining vertex operators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-693831