Results 1 to 10 of about 2,076,039 (307)
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
semanticscholar +10 more sources
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
semanticscholar +4 more sources
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
doaj +3 more sources
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
openaire +4 more sources
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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Centers and homotopy centers in enriched monoidal categories [PDF]
Advances in Mathematics 230 (2012), 1811-1858, 2011 We consider a theory of centers and homotopy centers of monoids in monoidal categories which themselves are enriched in duoidal categories. Duoidal categories (introduced by Aguillar and Mahajan under the name 2-monoidal categories) are categories with two monoidal structures which are related by some, not necessary invertible, coherence morphisms ...
Batanin, M., Markl, M.
arxiv +3 more sources
Curtis homomorphisms and the integral Bernstein center for GL_n [PDF]
, 2020 We describe two conjectures, one strictly stronger than the other, that give descriptions of the integral Bernstein center for GL_n(F) (that is, the center of the category of smooth W(k)[GL_n(F)]-modules, for F a p-adic field and k an algebraically ...
Helm, David
core +2 more sources
Categorial compositionality: a category theory explanation for the systematicity of human cognition. [PDF]
PLoS Computational Biology, 2010 Classical and Connectionist theories of cognitive architecture seek to explain systematicity (i.e., the property of human cognition whereby cognitive capacity comes in groups of related behaviours) as a consequence of syntactically and functionally ...
Steven Phillips, William H Wilson
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