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

Value of the Information & Strength of the Argument

The talk provides valuable insights into the construction of non-invertible symmetries in a broad class of sigma models. The argumentation is logically structured, starting from basic principles and building up to the main results. The speaker carefully explains the conditions under which self-duality defects exist and connects them to the topology of the target space. The use of the compact boson as a warm-up example is effective in illustrating the general mechanism. The presentation is rigorous, with attention to global issues and quantization conditions. The speaker also highlights the novelty of the work and its potential applications, making a strong case for its significance.

Scientific Rigor, Source Quality, Title Accuracy

The talk is scientifically rigorous, with clear definitions and careful derivations. The speaker mentions that the work appears in a set of papers with collaborators, but does not provide specific references during the talk, which is typical for a seminar. The title accurately reflects the content. The talk is part of a program at the Isaac Newton Institute, which adds to its credibility. The description provides links to the institute’s website and the specific seminar page, which could contain further information. Overall, the sources are appropriate for a research seminar, though the lack of explicit citations in the talk itself limits the ability to verify all claims.

The title accurately reflects the content: the talk focuses on non-invertible symmetries in 2d non-linear sigma models.

8/10

Talk by a researcher at Imperial College London, part of a scientific program at the Isaac Newton Institute. The content is technical and based on recent research, with references to published work. The presentation is rigorous, but as a seminar talk, it lacks detailed citations and peer-review context.

Markers derived by PSI from the transcript: the creator did not define chapters.

• 00:00Introduction and overview of the talk's structure.
• 03:00Discussion of topological operators and non-invertible symmetries.
• 10:00Introduction to self-duality symmetries and the half-space gauging construction.
• 20:00Example of the compact boson and construction of the duality defect.
• 30:00Generalization to non-linear sigma models with isometries.
• 40:00Discussion of the Wess-Zumino term and its effect on symmetries.
• 50:00Geometric interpretation via circle bundles and curvature forms.
• 1:00:00Construction of self-duality defects in sigma models.
• 1:10:00Applications to renormalization group flows and Ward identities.
• 1:20:00Conclusion and outlook.

• Isaac Newton Institute Seminar Page — Event page for the talk, providing details about the seminar and possibly related materials.
• Isaac Newton Institute Website — General website of the institute hosting the talk.
• Isaac Newton Institute LinkedIn — LinkedIn page of the institute, possibly containing updates and resources.

• Non-invertible symmetries in quantum field theory — Review article on non-invertible symmetries, providing background and context.
• Duality defects in two-dimensional conformal field theory — Paper discussing duality defects in 2d CFTs, related to the talk's topic.