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When the moduli space is an orbifold: Spontaneous breaking of continuous non-invertible symmetries

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arxiv 2309.06491 v2 pith:P5ECJZWQ submitted 2023-09-12 hep-th

Jeremias Aguilera Damia , Riccardo Argurio , Soumyadeep Chaudhuri This is my paper · ORCID
classification hep-th
keywords symmetrycontinuouspointsnon-invertibleorbifoldsinglespacetheories
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We investigate theories of Nambu-Goldstone bosons where the spontaneously broken continuous symmetry is non-invertible. In such theories, the vacua generically parameterize an orbifold. We study in detail the simplest example of a single free scalar with shift symmetry, modded by reflection symmetry. At singular points of the vacuum manifold, we show that the spectrum of NG excitations is reduced, in particular there are no single-particle states. At the smooth points, on the other hand, single NG modes are present. We show that this is a consequence of the fact that at those points one can construct invertible operators implementing the continuous symmetry on the Hilbert space.

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Cited by 4 Pith papers

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