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23 papers · 1 filter
Anomalous Symmetries End at the Boundary
Ryan Thorngren, Yifan Wang
A global symmetry of a quantum field theory is said to have an 't Hooft anomaly if it cannot be promoted to a local symmetry of a gauged theory. In this paper, we show that the ano…
Surface Defect, Anomalies and -Extremization
Yifan Wang
Quantum field theories (QFT) in the presence of defects exhibit new types of anomalies which play an important role in constraining the defect dynamics and defect renormalization g…
Ultra Unification
Juven Wang
Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a…
Odoni's conjecture on arboreal Galois representations is false
Philip Dittmann, Borys Kadets
Suppose is a polynomial. The absolute Galois group of acts on the preimage tree of under . The resulting homomorphism $ϕ_f: \mathrm{Gal}_K \to…
Unwinding Fermionic SPT Phases: Supersymmetry Extension
Abhishodh Prakash, Juven Wang
We show how 1+1-dimensional fermionic symmetry-protected topological states (SPTs, i.e. nontrivial short-range entangled gapped phases of quantum matter whose boundary exhibits 't…
Boundary supersymmetry of 1+1 d fermionic SPT phases
Abhishodh Prakash, Juven Wang
We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or an…