Moving Frames Hierarchy and BF Theory

Details Moving Frames Hierarchy and BF Theory Moving Frames Hierarchy and BF Theory

1997-06-11

arxiv.org/abs/hep-th/9706080v1

J.Math.Phys. 39 (1998) 102-123

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Tex, no figures

Scientific paper

10.1063/1.532310

We show that the one-dimensional projection of Chern-Simons gauged Nonlinear Schrodinger model is equivalent to an Abelian gauge field theory of continuum Heisenberg spin chain. In such a theory, the matter field has geometrical meaning of coordinates in tangent plane to the spin phase space, while the U(1) gauge symmetry relates to rotation in the plane. This allows us to construct the infinite hierarchy of integrable gauge theories and corresponding magnetic models. To each of them a U(1) invariant gauge fixing constraint of non-Abelian BF theory is derived. The corresponding moving frames hierarchy is obtained and the spectral parameter is interpreted as a constant-valued statistical gauge potential constrained by the 1-cocycle condition.

Affiliated with

Also associated with

No associations

Rating

Moving Frames Hierarchy and BF Theory 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 Moving Frames Hierarchy and BF Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moving Frames Hierarchy and BF Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557426