Results 1 to 10 of about 1,196,621 (137)
Drinfeld Center and Representation Theory for Monoidal Categories [PDF]
Communications in Mathematical Physics, 2016 Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C*-tensor category C and a unitary half-braiding on an ind-object, we construct a *-representation of the fusion algebra of C. This allows us to present an alternative approach to recent results of Popa and Vaes, who defined C*-algebras of ...
Neshveyev, Sergey, Yamashita, Makoto
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An application of the DR-duality theory for compact groups to endomorphism categories of C*-algebras with nontrivial center [PDF]
, 2000 10 pages ...
Baumgärtel, H., Lledo, F.
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On continuous 2-category symmetries and Yang-Mills theory [PDF]
Journal of High Energy Physics, 2022 We study a 4d gauge theory U(1)N−1 ⋊ SN obtained from a U(1)N−1 theory by gauging a 0-form symmetry SN. We show that this theory has a global continuous 2-category symmetry, whose structure is particularly rich for N > 2. This example allows us to draw a
Andrea Antinucci +2 more
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On the spectrum and support theory of a finite tensor category [PDF]
Mathematische Annalen, 2021 Finite tensor categories (FTCs) $\bf T$ are important generalizations of the categories of finite dimensional modules of finite dimensional Hopf algebras, which play a key role in many areas of mathematics and mathematical physics.
D. Nakano, Kent B. Vashaw, M. Yakimov
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The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory [PDF]
Advances in Mathematics, 2020 In this work, for a finite group $G$ and a 4-cocycle $ \in Z^4(G, \mathbf{k}^\times)$, we compute explicitly the center of the monoidal 2-category $\operatorname{2Vec}_G^ $ of $ $-twisted $G$-graded 1-categories of finite dimensional $\mathbf{k}$-vector spaces.
Liang Kong, Shan Zhou, Yin Tian
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Support theory for Drinfeld doubles of some infinitesimal group schemes [PDF]
Algebra & Number Theory, 2021 Consider a Frobenius kernel G in a split semisimple algebraic group, in very good characteristic. We provide an analysis of support for the Drinfeld center Z(rep(G)) of the representation category for G, or equivalently for the representation category of
E. Friedlander, C. Negron
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Aspects of categorical symmetries from branes: SymTFTs and generalized charges [PDF]
SciPost Physics, 2023 Recently it has been observed that branes in geometric engineering and holography have a striking connection with generalized global symmetries. In this paper we argue that branes, in a certain topological limit, not only furnish the symmetry generators,
Fabio Apruzzi +3 more
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A mathematical theory of gapless edges of 2d topological orders. Part I [PDF]
Journal of High Energy Physics, 2019 This is the first part of a two-part work on a unified mathematical theory of gapped and gapless edges of 2d topological orders. We analyze all the possible observables on the 1+1D world sheet of a chiral gapless edge of a 2d topological order, and show ...
Liang Kong, Hao Zheng
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Dualizability in Low-Dimensional Higher Category Theory [PDF]
, 2013 These lecture notes form an expanded account of a course given at the Summer School on Topology and Field Theories held at the Center for Mathematics at the University of Notre Dame, Indiana during the Summer of 2012.
Christopher J. Schommer-Pries
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Fundamental properties of rhythm sequences [PDF]
Journal of the American Society for Information Science and Technology, 2008 AbstractFundamental mathematical properties of rhythm sequences are studied. In particular, a set of three axioms for valid rhythm indicators is proposed, and it is shown that the R‐indicator satisfies only two out of three but that the R′‐indicator satisfies all three.
Gondy Leroy +3 more
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