Introduces pro-tensor networks as a categorified graphical framework for many-many-body theories, recovers the Levin-Wen model, characterizes particles as modules over promonads, and relaxes semisimplicity, finiteness, and rigidity assumptions.
194, Cambridge University Press, Cambridge, 2022
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A construction inverts twists in adjunctions of stable infinity-categories, producing adjoints to the spherical adjunction inclusion and a walking spherical adjunction that classifies them.
Instances of models of double theories are defined as presheaves on lax double functors and shown equivalent to modules from the terminal model or loose natural transformations, with an elements correspondence to discrete opfibrations.
Authors introduce a TFT-based framework for finite topological symmetries in QFT, including gauging, condensation defects, and duality defects, with an appendix on finite homotopy theories.
citing papers explorer
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Pro-Tensor Network
Introduces pro-tensor networks as a categorified graphical framework for many-many-body theories, recovers the Levin-Wen model, characterizes particles as modules over promonads, and relaxes semisimplicity, finiteness, and rigidity assumptions.
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Sphericalization and the Universal Spherical Adjunction
A construction inverts twists in adjunctions of stable infinity-categories, producing adjoints to the spherical adjunction inclusion and a walking spherical adjunction that classifies them.
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Presheaves on lax double functors; or, Instances of models of double theories
Instances of models of double theories are defined as presheaves on lax double functors and shown equivalent to modules from the terminal model or loose natural transformations, with an elements correspondence to discrete opfibrations.
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Topological symmetry in quantum field theory
Authors introduce a TFT-based framework for finite topological symmetries in QFT, including gauging, condensation defects, and duality defects, with an appendix on finite homotopy theories.