Orbifold groupoids

hep-th 2026-07 accept novelty 7.0 of 10

An order-five Sp(4,Z) duality acts projectively on 3d U(1)^2 theories, and its hierarchy operations generate candidate bilayer quantum Hall states at 3/8+3/8 and 5/12+5/12.

hep-th 2026-07 accept novelty 7.0 of 10

Chiral tube algebras unify chiral algebras and TDLs by acting on twisted defect spaces via local and non-local currents, with modules isomorphic to twisted modules of the parent algebras.

hep-th 2026-02 unverdicted novelty 7.0 of 10

Generalized family anomalies for broken higher-group and non-invertible symmetries constrain RG flows and IR phases of QFT families, with explicit application to deformed 4d QCD.

hep-th 2026-02 unverdicted novelty 7.0 of 10

The XY-plaquette model is claimed to possess a continuous SO(2) non-invertible duality symmetry at arbitrary coupling, realized by open condensation defects in its symmetry TFT.

hep-th 2025-09 conditional novelty 7.0 of 10

Continuous spacetime symmetries can be encoded in a (d+1)-dimensional BF/Chern-Simons topological field theory, whose boundary reproduces symmetry generators, symmetry breaking, and anomalies.

hep-th 2025-09 conditional novelty 7.0 of 10

Local quantum systems should obey disjoint additivity plus Haag duality, a combination that survives higher-form symmetries and fails for known nonlocal constructions.

hep-th 2025-07 conditional novelty 7.0 of 10

Non-local conserved currents attached to topological lines generate continuous non-invertible symmetries in 1+1d CFTs, with new examples in SU(2)_k WZW and minimal model products.

quant-ph 2025-07 conditional novelty 7.0 of 10

A SymTFT-based classification of 1+1d mixed-state phases with non-invertible strong and weak symmetries, with explicit lattice-model examples.

cond-mat.str-el 2025-06 conditional novelty 7.0 of 10

Competing anyon condensates in string-net models generate critical lattice models, including new Haagerup-symmetric CFT candidates with central charges near 1.3, 1.8 and 2.5.

cond-mat.str-el 2026-07 conditional novelty 6.5 of 10

Statistics of G-conserved invertible mixed-dimensional excitations in d-space are classified by H^{d+2}(BG; R/Z) and realized as boundary excitations of an ω-twisted higher-group gauge theory.

hep-th 2026-06 unverdicted novelty 6.0 of 10

Introduces (-2)-form symmetries that modify the SymTFT action to relate QFTs differing by anomaly data or non-invertible symmetry associators, illustrated in 2D-4D models, fusion categories, club-sandwich RG flows, an...

hep-th 2025-09 conditional novelty 6.0 of 10

Continuous-symmetry SymTFTs are extended to non-linear coset realizations and to spontaneous breaking using boundary and corner constructions, recovering CCWZ actions and SSB Ward identities.

hep-th 2025-09 conditional novelty 6.0 of 10

For Q8 and Rep(Q8), the paper computes condensable algebras, identifies intrinsically gapless SPT phases, and derives fusion-category short exact sequences that resolve categorical anomalies.

hep-th 2025-07 conditional novelty 6.0 of 10

The symmetric-sector von Neumann algebra of a QFT violates additivity or Haag duality exactly when the Lagrangian algebra of its SymTFT contains operators beyond the identity, with a sharper criterion distinguishing t...

hep-th 2025-06 conditional novelty 6.0 of 10

The U(1)_R symmetry operator of the Klebanov-Witten theory is realized by a non-BPS KK monopole, whose worldvolume action matches the SymTh operator and anomaly coefficients.

hep-th 2025-02 conditional novelty 6.0 of 10

Odd Lagrangian subgroups of the discriminant group of an abelian Chern-Simons theory give fermionic CFTs whose spectra are an NS lattice and its shadow, yielding new fermionic code CFTs and a classification of supersy...

cond-mat.str-el 2025-01 conditional novelty 6.0 of 10

In (2+1)d abelian lattice gauge theories, a twisted-gauging duality is realized by tensor networks, and the permutation of topological sectors is computed, yielding unitary maps between dual Hamiltonians.

hep-th 2025-01 conditional novelty 6.0 of 10

Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.

hep-th 2024-12 conditional novelty 6.0 of 10

The paper derives missing torsion terms in the holographic symmetry TFT for so(2n) N=4 SYM and matches its gapped boundary conditions to the global forms and discrete theta angles of disconnected orthogonal gauge theories.

cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

Non-invertible symmetries in finite-group gauge theories are realized as condensation defects, with a complete Z_N dictionary and new automorphism symmetry expressions.

hep-th 2025-09 conditional novelty 5.0 of 10

Constructs AKSZ sandwich SymTFTs with stacky target spaces that encode the center symmetries of Chern-Simons, Yang-Mills, and MacDowell-Mansouri gravity.

hep-th 2025-02 conditional novelty 5.0 of 10

The paper proposes that twisted-sector local operators transform in *-representations of the tube algebra of a higher fusion category symmetry, and classifies these representations using higher S-matrices.

hep-ph 2024-12 unverdicted

This ICHEP 2024 proceedings paper is a review of selected formal theory highlights and introduces no new results.