Four dimensional topological quantum field theory, Hopf categories, and the canonical bases
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We propose a new mwthod of constructing 4D-TQFTs. The method uses a new type of algebraic structure called a Hopf Category. We also outline the construction of a family of Hopf categories related to the quantum groups, using the canonical bases.
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Cited by 3 Pith papers
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Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering
Gapped phases dual to massless RG flows exhibit unusual structures outside standard boundary CFT modules and typically break non-group-like symmetries, characterized via smeared boundary CFTs with an example in the tr...
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Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering
Gapped phases dual to massless RG flows in 2D CFTs exhibit unusual ordering via spontaneous breaking of non-group-like symmetries and are characterized using smeared boundary CFTs applied to smeared Ishibashi states.
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Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions
A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.
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