Multifusion category
Web17 apr. 2024 · A bicommutant category is a higher categorical analog of a von Neumann algebra. We study the bicommutant categories which arise as the commutant $\mathcal {C}'$ of a fully faithful representation $\mathcal {C}\to\operatorname {Bim} (R)$ of a unitary fusion category $\mathcal {C}$. WebFurther, if B is a braided fusion category, the 2-category Mod ( B) inherits a rigid monoidal structure given by the relative Deligne tensor product over B, and so is a fusion 2-category (see [4] for the definition). In particular, the maximal subgroupoid of Mod ( B) is P i c ( B).
Multifusion category
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WebCondensation inversion and Witt equivalence via generalised orbifolds Vincentas Mulevi cius [email protected] Max-Planck-Institut fur Mathematik, Bonn, Germany In [MR1] WebIn this paper we study a toy categorical version of Lusztig’s induction and restriction functors for character sheaves, but in the abstract setting of multifusion categories. Let C be an indecomposable multifusion category and let M be an invertible C-bimodule category. Then the center ZC(M) of M with respect to C is an invertible module category over the …
Webn. 1. (Med.) The act of pouring into a vessel; specif. (Med.), the operation of introducing a substance into a blood vessel; as, intrafusion of blood. Web18 aug. 2024 · We use this result to construct the Morita 3-category of separablealgebras in a fusion 2-category. Then, we explain how module 2-categories forma 3-category, and …
Web13 apr. 2024 · In 1+1D, the correct category in place of the "bimodules" are the "vertex modules". In general, any translation-invariant factorization algebra has a notion of "module" supported at a point. ... a multifusion category is a finite semisimple 2-algebra.) Then a qft should be a von Neumann n-algebra, plus some Poincare symmetry data (Hamiltonian ... Web31 dec. 2024 · The notion of a multifusion 2-category, which generalizes the notion of fusion 2-category by notimposing therequirement that theunit objectbe simple,is …
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Web31 dec. 2024 · Abstract: The 3-categories of semisimple 2-categories and of multifusion categories are shown to be equivalent. A weakening of the notion of fusion 2-category is … getting rid of chiggers in yardWeb1 aug. 2024 · We show that the canonical 3-functor sending a multifusion categories to its 2-category of finite semisimple module categories induces an equivalence Mult ≃ … getting rid of chiggersWeb2 oct. 2024 · In this article, we extend these results to multifactor inclusions and unitary multifusion cat- egories. A unitary multifusion category is a semisimple rigid C∗tensor … getting rid of chillsWebDistortion for multifactor bimodules and representations of multifusion categories Marcel Bischo , Ian Charlesworth, Samuel Evington, Luca Giorgetti, and David Penneys October 5, getting rid of chicken neckWeb31 dec. 2024 · Abstract: The 3-categories of semisimple 2-categories and of multifusion categories are shown to be equivalent. A weakening of the notion of fusion 2-category is … christopher healey mdWebof matter, multifusion 2-categories (first introduced in [2]) describe the fusion of 2-spacetime-dimensional ‘quasistring’ excitations, also known as surface operators. Except … getting rid of chin hairs on a femaleWebAmultifusion category Aover the field C of complex numbers (or any algebraically closed field of characteristic zero) is • finitely semisimple: the sets of morphismsA(X,Y)= HomA(X,Y)are finite dimensional complex vector spaces for allX,Y∈C, any finite collection of objects has a direct sum, there are finitely many (isomorphism classes of) simple … getting rid of chin fat