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      Exploring duality symmetries, multicriticality and RG flows at \(c = 2\)

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          Abstract

          In this work, we study the realization of non-invertible duality symmetries along the toroidal branch of the \(c=2\) conformal manifold. A systematic procedure to construct symmetry defects is implemented to show that all Rational Conformal Field Theories along this branch enjoy duality symmetries. Furthermore, we delve into an in-depth analysis of two representative cases of multicritical theories, were the toroidal branch meets various orbifold branches. For these particular examples, the categorical data and the defect Hilbert spaces associated to the duality symmetries are obtained by resorting to modular covariance. Finally, we study the interplay between these novel symmetries and the various exactly marginal and relevant deformations, including some representative examples of Renormalization Group flows where the infrared is constrained by the non-invertible symmetries and their anomalies.

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          Author and article information

          Journal
          08 January 2024
          Article
          2401.04166
          415bbaaf-2bbf-45fd-9d22-1939ff5e4175

          http://creativecommons.org/publicdomain/zero/1.0/

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          Custom metadata
          45 pages + appendices
          hep-th

          High energy & Particle physics
          High energy & Particle physics

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