English

Comments on Noncommutative Sigma Models

High Energy Physics - Theory 2014-11-18 v2

Abstract

We review the derivation of a noncommutative version of the nonlinear sigma model on \CPn\CPn and it's soliton solutions for finite θ\theta emphasizing the similarities it bears to the GMS scalar field theory. It is also shown that unlike the scalar theory, some care needs to be taken in defining the topological charge of BPS solitons of the theory due to nonvanishing surface terms in the energy functional. Finally it is shown that, like its commutative analogue, the noncommutative \CPn\CPn-model also exhibits a non-BPS sector. Unlike the commutative case however, there are some surprises in the noncommutative case that merit further study.

Keywords

Cite

@article{arxiv.hep-th/0211171,
  title  = {Comments on Noncommutative Sigma Models},
  author = {Jeff Murugan and Rory Adams},
  journal= {arXiv preprint arXiv:hep-th/0211171},
  year   = {2014}
}

Comments

22 pages, 4 figures, LaTeX (JHEP3), Minor changes, Discussion expanded and references added