Explicit Free Parameterization of the Modified Tetrahedron Equation

Details Explicit Free Parameterization of the Modified Tetrahedron Equation Explicit Free Parameterization of the Modified Tetrahedron Equation

2002-08-26

arxiv.org/abs/nlin/0208035v2

J.Phys.A36:975-998,2003

Nonlinear Sciences

Exactly Solvable and Integrable Systems

28 pages, 3 figures

Scientific paper

10.1088/0305-4470/36/4/309

The Modified Tetrahedron Equation (MTE) with affine Weyl quantum variables at N-th root of unity is solved by a rational mapping operator which is obtained from the solution of a linear problem. We show that the solutions can be parameterized in terms of eight free parameters and sixteen discrete phase choices, thus providing a broad starting point for the construction of 3-dimensional integrable lattice models. The Fermat curve points parameterizing the representation of the mapping operator in terms of cyclic functions are expressed in terms of the independent parameters. An explicit formula for the density factor of the MTE is derived. For the example N=2 we write the MTE in full detail. We also discuss a solution of the MTE in terms of bosonic continuum functions.

Affiliated with

Also associated with

No associations

Rating

Explicit Free Parameterization of the Modified Tetrahedron Equation 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 Explicit Free Parameterization of the Modified Tetrahedron Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit Free Parameterization of the Modified Tetrahedron Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-649960