The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory [PDF]
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.
Kong, Liang, Tian, Yin, Zhou, Shan
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Drinfeld Center and Representation Theory for Monoidal Categories [PDF]
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]
10 pages ...
Baumgärtel, H., Lledo, F.
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The process of nurses’ confrontation with ethical conflicts in home care: a grounded theory study [PDF]
Background Ethical conflicts (ECs) are an inseparable part of nursing care, particularly home care (HC). Nurses’ inability to effectively manage ECs may lead to occupational stress, job burnout, and low patient care quality.
Mostafa Gholami +3 more
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On continuous 2-category symmetries and Yang-Mills theory
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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Categorial compositionality: a category theory explanation for the systematicity of human cognition. [PDF]
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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The sustainable semantic foundations of the traditional neighborhoods in the desert cities [PDF]
BACKGROUND AND OBJECTIVES: In cities with a hot and harsh climate, defining space and territory in a sustainable and environmentally manner in urban management and human capital is critical. Cultural values and climatic adaptation played a prominent role
S. Maroofi, M. Valibeigi, A. Shaneh
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A mathematical theory of gapless edges of 2d topological orders. Part II
This is the second part of a two-part work on the unified mathematical theory of gapped and gapless edges of 2+1D topological orders. In Part I, we have developed the mathematical theory of chiral gapless edges.
Liang Kong, Hao Zheng
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Set-valued data collection with local differential privacy based on category hierarchy
Set-valued data is extremely important and widely used in sensor technology and application. Recently, privacy protection for set-valued data under differential privacy (DP) has become a research hotspot.
Jia Ouyang +4 more
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This study aims to evaluate the Teacher Training Program at Training Center for Education and Religious Technical Personnell. The basic problem is that there is no post-training evaluation as an integral part of the evaluation of training implementation.
Hasyim Asyari +2 more
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