Abstract
There is a family of vector bundles over the moduli space of stable curves that, while first appearing in theoretical physics, has been an active topic of study for algebraic geometers since the 1990s. By computing the rank of the exceptional Lie algebra g2 case of these bundles in three different ways, a family of summation formulas for Fibonacci numbers in terms of the golden ratio is derived.
Funder
National Science Foundation
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference17 articles.
1. Current algebra and Wess-Zumino model in two dimensions
2. Fusion rules and modular transformations in 2D conformal field theory
3. Conformal field theory on universal family of stable curves with gauge symmetries;Tsuchiya;Adv. Stud. Pure Math.,1989
4. Introduction to conformal field theory with gauge symmetries;Ueno;Geom. Phys. Lect. Notes Pure Appl. Math.,1997
5. From WZW models to modular functors;Looijenga,2013