REVIEW 12 cited by
S-Matrix Bootstrap and Non-Invertible Symmetries
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the fusion category data. By imposing unitarity, symmetry and the modified crossing, we constrain the space of consistent S-matrices, identifying integrable theories with non-invertible symmetries at the cusps of allowed regions. We also extend the modified crossing rules to cases where vacua transform in non-regular representations of fusion category, utilizing a connection to a dual category $\mathscr C^{*}_{\mathscr{M}}$ and Symmetry Topological Field Theory (SymTFT). This highlights the utility of SymTFT in the analysis of scattering amplitudes.
Forward citations
Cited by 12 Pith papers
-
$\mathcal{N}=2$ RG flows, Non-Invertible Symmetries and Matrix Factorisations
Non-invertible so(3)_k defect lines that commute with the massless perturbation of N=2 minimal models are killed at second order by a supersymmetry anomaly, while the Chebyshev massive deformation preserves them to al...
-
Exchange relations and crossing
Modified crossing equations for S-matrices with nontrivial braiding are proposed, and a new sign in the massless AdS3 crossing equation yields a simpler dressing factor.
-
Coupled minimal models revisited II: Constraints from permutation symmetry
For coupled large-m minimal models with N=5,6,7, every permutation-charged current below spin 10 acquires an anomalous dimension, so the IR fixed points show no extended chiral algebra in that range.
-
Demystifying the Massless Sector in AdS_3 Quantum Spectral Curve
Massless modes in the AdS3 x S3 x T4 quantum spectral curve are shown to emerge as zeros on the branch cut, yielding Bethe equations and uniquely constrained dressing phases.
-
Notes on (-2)-form symmetries
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...
-
SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking
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.
-
Cross-Section Bootstrap: Unveiling the Froissart Amplitude
A universal finite-energy upper bound on the integrated cross-section for identical scalars is derived; the conjectured saturating "Froissart amplitude" shows Regge trajectories, a rising cross-section, and annulus-li...
-
Higher Representations and Quark Confinement
Using higher-categorical representation theory, the paper proposes that the confined and adjoint Higgs phases of scalar QCD are distinguished by their baryon-charge spectra and by the presence of center vortices.
-
Minimal Models RG flows: non-invertible symmetries & non-perturbative description
A three-parameter NLIE family is conjectured to encode exact ground-state energies for anomaly-matched RG flows between Virasoro minimal models, generalizing known integrable cases.
-
SymTFTs for $U(1)$ symmetries from descent
Symmetry descent is extended from discrete to continuous U(1) higher-form symmetries, yielding SymTFTs that match the Antinucci-Benini and Brennan-Sun constructions.
-
The Higher Structure of Symmetries of Axion-Maxwell Theory
The paper determines the fusion interfaces and F-symbols for the non-invertible electric 1-form symmetry of 4d axion-Maxwell theory.
-
Unitary Categorical Symmetries
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.
Discussion (0). Continue with ORCID to comment.