Results 71 to 80 of about 210 (155)

Boundary scattering and non-invertible symmetries in 1 + 1 dimensions

Journal of High Energy Physics
Recent studies by Copetti, Córdova and Komatsu have revealed that when non-invertible symmetries are spontaneously broken, the conventional crossing relation of the S-matrix is modified by the effects of the corresponding topological quantum field theory
Soichiro Shimamori, Satoshi Yamaguchi
doaj   +1 more source

From topological to quantum entanglement

Journal of High Energy Physics, 2019
Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such non-local correlations can be given a very intuitive interpretation:
D. Melnikov, A. Mironov, S. Mironov, A. Morozov, An. Morozov   +4 more
doaj   +1 more source

Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells

Symmetry, Integrability and Geometry: Methods and Applications, 2010
After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of triangular cells on fusion graphs that describe modules associated with the fusion category of SU ...
Robert Coquereaux, Esteban Isasi, Gil Schieber   +2 more
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On stochastic quantisation of supersymmetric theories

Physics Letters B, 2019
We explain how stochastic TQFT supersymmetry can be made compatible with space supersymmetry. Taking the case of N=2 supersymmetric quantum mechanics, (the proof would be the same for the Wess–Zumino model), we determine the kernels that ensure the ...
Laurent Baulieu
doaj   +1 more source

Anyon condensation in Virasoro TQFT: wormhole factorization

Journal of High Energy Physics
Anyon condensation in wormhole geometries is investigated in the Virasoro TQFT (VTQFT) formulation, a proposed reformulation of 3d AdS quantum gravity. We first review some elementary techniques of VTQFT and summarize a gauging scheme for non-invertible ...
Shunta Takahashi
doaj   +1 more source

Solving the tetrahedron equation by Teichmüller TQFT

Journal of High Energy Physics
We propose an approach to construct three-dimensional lattice models using line defects in state integral models on shaped triangulations of 3-manifolds.
Myungbo Shim, Xiaoyue Sun, Hao Ellery Wang, Junya Yagi   +3 more
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Entanglement entropy and edge modes in topological string theory. Part I. Generalized entropy for closed strings. [PDF]

J High Energy Phys, 2021
Donnelly W, Jiang Y, Kim M, Wong G.
europepmc   +1 more source

CFT_{D} from TQFT_{D+1} via Holographic Tensor Network, and Precision Discretization of CFT_{2}

Physical Review X
We show that the path integral of conformal field theories in D dimensions (CFT_{D}) can be constructed by solving for eigenstates of a renormalization group (RG) operator following from the Turaev-Viro formulation of a topological field theory ...
Lin Chen, Kaixin Ji, Haochen Zhang, Ce Shen, Ruoshui Wang, Xiangdong Zeng, Ling-Yan Hung   +6 more
doaj   +1 more source

A non-rational Verlinde formula from Virasoro TQFT

Journal of High Energy Physics
We use the Virasoro TQFT to derive an integral identity that we view as a non-rational generalization of the Verlinde formula for the Virasoro algebra with central charge c ≥ 25.
Boris Post, Ioannis Tsiares
doaj   +1 more source

The 3d $A$-model and generalised symmetries, part I: Bosonic Chern-Simons theories

SciPost Physics
The 3d $A$-model is a two-dimensional approach to the computation of supersymmetric observables of three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories.
Cyril Closset, Elias Furrer, Adam Keyes, Osama Khlaif
doaj   +1 more source