English

Integrable boundary interaction in 3D target space: the "pillow-brane" model

High Energy Physics - Theory 2015-06-11 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

We propose a model of boundary interaction, with three-dimensional target space, and the boundary values of the field {\vec X}\in R^3 constrained to lay on a two-dimensional surface of the "pillow" shape. We argue that the model is integrable, and suggest that its exact solution is described in terms of certain linear ordinary differential equation.

Keywords

Cite

@article{arxiv.1208.5259,
  title  = {Integrable boundary interaction in 3D target space: the "pillow-brane" model},
  author = {Sergei L. Lukyanov and Alexander B. Zamolodchikov},
  journal= {arXiv preprint arXiv:1208.5259},
  year   = {2015}
}

Comments

28 pages, 4 figures

R2 v1 2026-06-21T21:55:29.761Z