Symmetries, anomalies, and dualities of two-dimensional Non-Linear Sigma Models

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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.
Funding Information
  • Science and Technology Facilities Council (ST/T000791/1)
  • Science and Technology Facilities Council (ST/X000575/1)

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