Instanton R-matrix and \(\mathcal{W}\)-symmetry
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Publication:2303175
DOI10.1007/JHEP12(2019)099zbMATH Open1431.81126arXiv1903.10372MaRDI QIDQ2303175
Author name not available (Why is that?)
Publication date: 2 March 2020
Published in: (Search for Journal in Brave)
Abstract: We study the relation between algebra and Arbesfeld-Schiffmann-Tsymbaliuk Yangian using the Maulik-Okounkov R-matrix. The central object linking these two pictures is the Miura transformation. Using the results of Nazarov and Sklyanin we find an explicit formula for the mixed R-matrix acting on two Fock spaces associated to two different asymptotic directions of the affine Yangian. Using the free field representation we propose an explicit identification of Arbesfeld-Schiffmann-Tsymbaliuk generators with the generators of Maulik-Okounkov Yangian. In the last part we use the Miura transformation to give a conformal field theoretic construction of conserved quantities and ladder operators in the quantum mechanical rational and trigonometric Calogero-Sutherland models on which a vector representation of the Yangian acts.
Full work available at URL: https://arxiv.org/abs/1903.10372
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