NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.3, pp.288-293


Topological Symmetries in Krichever-Novikov Algebras.
Andrea Bruder, Maria Meiler, and Andreas Ruffing

The theory of meromorphic vector fields has recent very fruitful interactions with propagation formalisms of strings and related membrane objects in mathematical physics. Amazing is the fact that in some field theories, the energy momentum tensor is completely characterized by Lie algebras between the vector fields under consideration. Methods from Riemann-Roch theory come in which allow to describe the kinematic and the dynamic behavior of bosonic strings. We investigate the Lie algebra for the energy momentum tensor components of a bosonic string propagating over a Riemann surface of genus 1 and corresponding to a one loop branching process with one entry and two exits. The markings for the entry and the exit are chosen as the so-called double points of the Weierstrass -function.
Key words: elliptic functions, meromorphic vector fields and their Lie algebras, Riemann-Roch theory, propagation of bosonic strings

Full text:  Acrobat PDF  (153KB)  



ContentsJournal Home Page

Copyright © Nonlinear Phenomena in Complex Systems. Last updated: September 6, 2006