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, where the toroidal branch meets various orbifold branches. For these particular examples, the categorical data and the defect Hilbert spaces associated with 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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Acknowledgments
We would like to thank Riccardo Argurio, Luigi Tizzano, Christian Copetti, Andrea Antinucci and Giovanni Rizi for a careful reading of the manuscript and for giving us precious comments. The work of S.M. is supported by “Fondazione Angelo Della Riccia” and by funds from the Solvay Family. J.A.D. is a Postdoctoral Researcher of the F.R.S.-FNRS (Belgium). The research of J.A.D. and G.G is supported by IISN-Belgium (convention 4.4503.15) and through an ARC advanced project. The work of O. H. was supported by the FWO-Vlaanderen through the project G006119N and by the Vrije Universiteit Brussel through the Strategic Research Program “High-Energy Physics”.
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Damia, J.A., Galati, G., Hulik, O. et al. Exploring duality symmetries, multicriticality and RG flows at c = 2. J. High Energ. Phys. 2024, 28 (2024). https://doi.org/10.1007/JHEP04(2024)028
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DOI: https://doi.org/10.1007/JHEP04(2024)028