# Vertex operators and soliton time delays in affine Toda field theory

@article{Fring1994VertexOA, title={Vertex operators and soliton time delays in affine Toda field theory}, author={Andreas Fring and P. R. Johnson and Marco A. C. Kneipp and David Ian Olive}, journal={Nuclear Physics}, year={1994}, volume={430}, pages={597-614} }

## 31 Citations

Vertex operators, semiclassical limit for soliton S-matrices and the number of bound states in affine Toda field theories

- Mathematics, Physics
- 2000

Time-delay and reality conditions for complex solitons

- PhysicsJournal of Mathematical Physics
- 2017

We compute lateral displacements and time-delays for a scattering processes of complex multi-soliton solutions of the Korteweg de-Vries equation.The resulting expressions are employed to explain the…

The generic soliton of the $A_n$ affine Toda field theories

- Mathematics
- 1995

In this note we show that the single soliton solutions known previously in the $1+1$ dimensional affine Toda field theories from a variety of different methods \cite{H1,MM,OTUa,OTUb}, are in fact not…

Solution of the Affine Toda Equations as an Initial Value Problem

- Mathematics
- 1997

Affine Toda field is a multicomponent field in two space-time dimensions, satifying a generalisation of the sinh-Gordon equation. Solution of the affine Toda field equations is presented as a path…

Degenerate multi-solitons in the sine-Gordon equation

- Mathematics
- 2017

We construct various types of degenerate multi-soliton and multi-breather solutions for the sine-Gordon equation based on Bäcklund transformations, Darboux–Crum transformations and Hirota’s direct…

On extended structures in affine Toda field theory

- Physics
- 1996

Two areas of affine Toda field theory are explored in this thesis. First the introduction of a boundary into the real coupling affine Toda field theory. It has been shown by other authors that affine…

## References

SHOWING 1-10 OF 54 REFERENCES

Quantizing sl(n) solitons and the Hecke algebra

- Physics, Mathematics
- 1993

The problem of quantizing a class of two-dimensional integrable quantum field theories is considered. The classical equations of the theory are the complex sl(n) affine Toda equations which admit…

Solitons and vertex operators in twisted affine Toda field theories

- Mathematics
- 1996

Affine Toda field theories in two dimensions constitute families of integrable, relativistically invariant field theories in correspondence with the affine Kac-Moody algebras. The particles which are…

On the topological charges of the affine toda solitons

- Physics
- 1994

This thesis investigates the two dimensional, integrable field theories known as the affine Toda field theories, which are based on the Kac-Moody algebras with zero central extension. In particular,…