Instantons in Lifshitzeld theories

摘要: BPS instantons are discussed in Lifshitz-type anisotropiceld theories. We consider generalizations of the sigma model/Yang-Mills renormalizable higher dimensional models with classical Lifshitz scaling invariance. In each model, instanton equation takes form gradient ow equations for \the superpotential" dening detailed balance condition". The anisotropic Weyl rescaling and coset space reduction used to map rotationally symmetric vortices two-dimensional systems on hyperbolic plane. As examples, we study baby Skyrmion 1+1 dimensions 2+1 dimensions, which take Kahler 1-form Wess-Zumiono-Witten term as superpotentials, respectively, an generalized Yang-Mills 4 + 1 Chern-Simons superpotential.