Results 1 to 10 of about 13,281,844 (310)
We introduce an R-matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra U q , t g l ^ ^ 1 $$ {U}_{q,t}\left({\widehat{\widehat{\mathfrak{gl}}}}_1\right) $$ . This R-matrix acts on pairs of 3d Young diagrams and
Hidetoshi Awata +5 more
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We provide a novel neural network architecture that can: i) output R-matrix for a given quantum integrable spin chain, ii) search for an integrable Hamiltonian and the corresponding R-matrix under assumptions of certain symmetries or other restrictions ...
Shailesh Lal +2 more
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A bootstrap program is presented for algebraically solving the univariate $R$-matrix of a generic integrable quantum spin chain from its Hamiltonian.
Zhao Zhang
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The Meromorphic R-Matrix of the Yangian [PDF]
Minor edits, one reference added. To appear in Progress in Mathematics volume for N. Reshetikhin's 60th birthday.
Gautam, Sachin +2 more
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π-Extended Ladder-Type Conjugated Polymers via BN-Annulation
Two kinds of ladder-type conjugated polymers were concisely synthesized by the formation of single-stranded conjugated polymers via Stille cross-couplings, followed by nitrogen-directed electrophilic borylations at electron-rich aromatic rings.
Peirong Qiang +3 more
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Suspension array technology (SAT) has aroused substantial interest due to its strong multiplexed detection capability, quick binding kinetics, high throughput, and high detection sensitivity.
Weijie Wu, Xinyi Liu, Wanwan Li
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Rechargeable aqueous Zn‐ion batteries (ZIBs) are regarded as one of the most promising devices for the next‐generation energy storage system. However, the uncontrolled dendrite growth on Zn metal anodes and the side hydrogen evolution reaction, which has
Lin Hong +7 more
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Summary: Because any perturbation in the number of oxidation sites associated with the polymeric backbone can cause changes in the electrical properties, the stability of electrical properties has strongly prevented the wide adoption of most conducting ...
Juexin Huang, Chuanliang Feng
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The trigonometric $$E_8$$ R-matrix [PDF]
An expression for the R-matrix associated to $U_q(\widehat{e_8})$ in its 249-dimensional representation is given using the diagrammatic calculus of $U_q(e_8)$ invariants.
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Chern–Simons theory and the R-matrix [PDF]
It has been a long-standing problem how to relate Chern-Simons theory to the quantum groups. In this paper we recover the classical $r$-matrix directly from a 3-dimensional Chern-Simons theory with boundary conditions, thus creating a direct link to the quantum groups. It is known that the Jones polynomials can be constructed using an $R$-matrix.
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