English

Uses of Sigma Models

High Energy Physics - Theory 2018-03-26 v1 Differential Geometry

Abstract

This is a brief review of some of the uses of nonlinear sigma models. After a short general discussion touching on point particles, strings and condensed matter systems, focus is shifted to sigma models as probes of target space geometries. The relation of supersymmetric non-linear sigma models to K\"ahler, hyperk\"ahler, hyperk\"ahler with torsion and generalised K\"ahler geometries is described.

Keywords

Cite

@article{arxiv.1803.08873,
  title  = {Uses of Sigma Models},
  author = {Ulf Lindström},
  journal= {arXiv preprint arXiv:1803.08873},
  year   = {2018}
}

Comments

11 pages, Corfu Summer Institute 2017 "School and Workshops on Elementary Particle Physics and Gravity" 2-28 September 2017, Corfu, Greece

R2 v1 2026-06-23T01:03:17.582Z