Symmetries, anomalies, and dualities of two-dimensional Non-Linear Sigma Models
Abstract
A bstract We analyse the global symmetry structure of two-dimensional Non-Linear Sigma Models with Wess-Zumino term. When the target space has a compact isometry without fixed points, the theory has a pair of (group-like) global symmetries and many such theories also have non-invertible symmetries. We describe how the topology of the target space and Wess-Zumino term determine whether the group-like symmetries are continuous or discrete, and study their pure and mixed ’t Hooft anomalies. We also revisit the construction of the non-invertible symmetries, which are associated with possible self-dualities under discrete gauging, and show how the global symmetry structure is left invariant by this gauging.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Homotopy and Cohomology in Algebraic Topology
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 2
- Publication date
- 2 February 2026
- Language
- EN