5 papers
Twin Phases: Intrinsic Deconfined Quantum Criticality
Alison Warman, Yuhan Gai, Sakura Schafer-Nameki
We introduce the concept of twin phases for a symmetry , defined as inequivalent phases, whose order parameters are part of the same generalized charge under $\mathcal…
Twin Algebras: Condensable Algebras beyond Anyons
Yuhan Gai, Sakura Schafer-Nameki, Alison Warman
Condensable algebras in 2+1d non-chiral topological orders characterize gapped boundary conditions and interfaces. Applied to the Symmetry Topological Field Theory, they allow clas…
Gapless Phases in (2+1)d with Non-Invertible Symmetries
Lakshya Bhardwaj, Yuhan Gai, Sheng-Jie Huang +4
The study of gapless phases with categorical (or so-called non-invertible) symmetries is a formidable task, in particular in higher than two space-time dimensions. In this paper we…
Beyond Wigner: Non-Invertible Symmetries Preserve Probabilities
Thomas Bartsch, Yuhan Gai, Sakura Schafer-Nameki
In recent years, the traditional notion of symmetry in quantum theory was expanded to so-called generalised or categorical symmetries, which, unlike ordinary group symmetries, may…
Categorical Anomaly Matching
Andrea Antinucci, Christian Copetti, Yuhan Gai +1
Matching 't Hooft anomalies is a powerful tool for constraining the low-energy dynamics of quantum systems and their allowed renormalization group (RG) flows. For non-invertible (o…