of the Weierstrass 
-function.
Key words: elliptic functions, meromorphic vector fields and their Lie algebras, Riemann-Roch theory, propagation of bosonic strings
2006, Vol.9, No.3, pp.288-293
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
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