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Non-Invertible Symmetries in String Theory

Jacob McNamara, Caltech
Tuesday, January 30, 2024 - 3:00pm
PAT C-421

Recent progress in QFT has uncovered a vast generalization of the notion of symmetry, known as non-invertible symmetry. On general grounds, we expect that any exact symmetries in quantum gravity are gauge symmetries, so it is natural to ask, can non-invertible gauge symmetry (whatever that might be) exist in string theory? After reviewing the notion of non-invertible symmetry, I will discuss a clear strategy towards finding non-invertible gauge symmetries: finding non-invertible global symmetries on the string worldsheet. I will argue that such symmetries are universally broken by string loop effects, and as a result, do not lead to non-invertible gauge symmetries in quantum gravity.

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