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Non-invertible Symmetries of 2d Non-Linear Sigma Models

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BID - Quantum field theory with boundaries, impurities, and defects

Global symmetries can be generalised to transformations generated by topological operators, including cases in which this operator does not have an inverse. A family of such topological operators are related to dualities via the procedure of half-space gauging. I will discuss the construction of non-invertible defects based on T-duality in two dimensions, generalising the well-known case of the free compact boson to any Non-Linear Sigma Model (NLSM) with Wess-Zumino term which is T-dualisable. I will discuss how these symmetries can be used to constrain renormalisation group flows, and their fate in String Theory.

This talk is part of the Isaac Newton Institute Seminar Series series.

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