3-dimensional topological σ-model ∗

σ-Normality of Topological Spaces

ar X iv : h ep - t h / 02 01 00 6 v 2 2 6 Fe b 20 02 3 - dimensional topological σ - model ∗ Bogus law Broda

A 3-dimensional model dual to the Rozansky-Witten topological sigma-model with a hyper-Kähler target space is considered. It is demonstrated that a Feynman diagram calculation of the classical part of its partition function yields the Milnor linking number.

ar X iv : h ep - t h / 02 01 00 6 v 3 2 7 Ja n 20 05 3 - dimensional scalar - vector dual of topological σ - model ∗ Bogus law Broda

A 3-dimensional model dual to the Rozansky-Witten topological sigma-model with a hyper-Kähler target space is considered. It is demonstrated that a Feynman diagram calculation of the classical part of its partition function yields the Milnor linking number.

Information metric on instanton moduli spaces in nonlinear σ models

We study the information metric on instanton moduli spaces in two-dimensional nonlinear σ models. In the CP 1 model, the information metric on the moduli space of one instanton with the topological charge Q = k (k ≥ 1) is a three-dimensional hyperbolic metric, which corresponds to Euclidean anti–de Sitter space-time metric in three dimensions, and the overall scale factor of the information met...

Disordered Weyl Semimetals and Their Topological Family.

We develop a topological theory for disordered Weyl semimetals in the framework of the gauge invariance of the replica formalism and boundary-bulk correspondence of Chern insulators. An anisotropic topological θ term is analytically derived for the effective nonlinear σ model. It is this nontrivial topological term that ensures that the bulk transverse transport of Weyl semimetals is robust aga...