Multifusion category
WebAmultifusion 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 … 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 ...
Multifusion category
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Web31 mar. 2024 · Abstract We define the 2-Deligne tensor product of two finite semisimple 2-categories using a 3-universal property, and present its fundamental properties. In particular, we prove that the... 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).
Web4 mar. 2024 · Multi-fusion categories are a generalization of fusion categories with a non-simple unit. The direct sum of two multi-fusion categories is again a multi-fusion … WebCondensation inversion and Witt equivalence via generalised orbifolds Vincentas Mulevi cius [email protected] Max-Planck-Institut fur Mathematik, Bonn, Germany In [MR1]
WebGiven a multifusion 2-category, potentially with some additional levels of monoidality, we prove theorems about the structure of the 2-category obtained by condensing a suitable algebra object. Web1 aug. 2024 · Multifusion categories and finite semisimple 2-categories. Journal of Pure and Applied Algebra, Volume 226, Issue 8, 2024, Article 107029. Show abstract. ... Such categories contain distinguished subcategories of insertions (which are monomorphisms) and surjections (in general different to the epimorphisms) such that each morphism …
Websuperfuse. ( ˌsuːpəˈfjuːz) vb. obsolete to pour or be poured so as to cover something. [C17: from Latin superfūsus poured over, from superfundere, from super- + fundere to pour]
Web1 aug. 2024 · We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in … can we sleep in 2s trainWeb25 nov. 2014 · 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 introduced. Multifusion 2-categories are… Expand Highly Influenced View 3 excerpts, cites results and background Save Alert The categorified Grothendieck–Riemann–Roch … bridgeway lightingWebAbstract A bicommutant category is a higher categorical analog of a von Neumann algebra. We study the bicommutant categories which arise as the commutant C0of a fully … bridgeway logistics llcWeb18 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 … bridgeway lofts pullmanWebIn 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 … bridgeway loves parkWebWorking over an arbitrary field, we define compact semisimple 2-categories, and show that every compact semisimple 2-category is equivalent to the 2-category of separable … bridgeway long term careWebof matter, multifusion 2-categories (first introduced in [2]) describe the fusion of 2-spacetime-dimensional ‘quasistring’ excitations, also known as surface operators. Except … can we sleep with eyes open