Results 1 to 10 of about 1,465,301 (281)
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]
, 2001 In Rev. Math. Phys. 4 (1997) 785 we study Hilbert-C* systems {F,G} where the fixed point algebra A has nontrivial center Z and where A'\cap F=Z is satisfied.
Hellmut Baumgärtel, Fernando Lledó
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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 ⋊ S N obtained from a U(1) N−1 theory by gauging a 0-form symmetry S N . We show that this theory has a global continuous 2-category symmetry, whose structure is particularly rich for N > 2.
Andrea Antinucci +2 more
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A mathematical theory of gapless edges of 2d topological orders. Part I [PDF]
Journal of High Energy Physics, 2020 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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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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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, Federico Bonetti, Dewi S.W. Gould, Sakura Schäfer-Nameki
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A lattice model for condensation in Levin-Wen systems [PDF]
Journal of High Energy Physics, 2023 Levin-Wen string-net models provide a construction of (2+1)D topologically ordered phases of matter with anyonic localized excitations described by the Drinfeld center of a unitary fusion category.
Jessica Christian +3 more
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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.
Schommer-Pries, Christopher
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Advances in Mechanical EngineeringBased on the working conditions of the variable center distance non-circular gear pair, this research provides the rounding theories and methods for the theoretical pitch curves of the gear pair, including establish the working conditions model of the ...
Botao Li, Jiquan Hu, Dingfang Chen
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