Results 61 to 70 of about 44,436 (212)
Quantum Quasigroups and the Quantum Yang–Baxter Equation
Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonassociative extension of Hopf algebra techniques. They also have one-sided analogues, which are not self-dual.
Jonathan Smith
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Hydrogel‐based therapies have proven to be valuable tools to address the unique regeneration challenges of complex multi‐domain periodontal and craniofacial tissues. This review highlights and classifies clinically approved and emerging hydrogel therapies indicated for the regeneration of periodontal and craniofacial tissues.
Z. Gouveia +5 more
wiley +1 more source
R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit form.
Sergey É. Derkachov +1 more
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Majorana fermions solve the tetrahedron equations as well as higher simplex equations
Yang-Baxter equations define quantum integrable models. The tetrahedron and higher simplex equations are multi-dimensional generalizations. Finding the solutions of these equations is a formidable task.
Pramod Padmanabhan, Vladimir Korepin
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Engineered surface strategies to manage dental implant‐related infections
Abstract When exposed to the oral environment, dental implants, like natural surfaces, become substrates for microbial adhesion and accumulation, often leading to implant‐related infections—one of the main causes of implant failure. These failures impose significant costs on patients, clinicians, and healthcare systems.
João Gabriel S. Souza +7 more
wiley +1 more source
Lectures on the dynamical Yang-Baxter Equations [PDF]
This paper contains a systematic and elementary introduction to a new area of the theory of quantum groups -- the theory of the classical and quantum dynamical Yang-Baxter equations. It arose from a minicourse given by the first author at MIT in the Spring of 1999, when the second author extended and improved his lecture notes of this minicourse.
Etingof, Pavel, Schiffmann, Olivier
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Classical Yang-Baxter equation from supergravity [PDF]
6 pages, double column; v2 Schwarzschild example improved, thereby demonstrating that Yang-Baxter deformations can be extended to non-coset ...
Bakhmatov I. +3 more
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ABSTRACT While public administration research has made important strides in understanding social capital, less is known about how its effects vary across populations and contexts. This study investigates how racial segregation and citizen ideology shape the relationship between community social capital and flu vaccination rates among White and Black ...
Jing Peng, Kaifeng Yang
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Solutions of the classical Yang–Baxter equation provide a systematic method to construct integrable quantum systems in an algebraic manner. A Lie algebra can be associated with any solution of the classical Yang–Baxter equation, from which commuting ...
Jon Links
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Lax pairs for new ZN-symmetric coset σ-models and their Yang-Baxter deformations
Two-dimensional σ-models with ZN-symmetric homogeneous target spaces have been shown to be classically integrable when introducing WZ-terms in a particular way. This article continues the search for new models of this type now allowing some kinetic terms
David Osten
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