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Showing 1 to 4 of 4 for “"yangian"”.
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The affine Yangian of gl₁, and the infinitesimal Cherednik algebras
… we discuss the loop realization of the affine Yangian of gl₁. Similar objects were recently considered in the work of Maulik-Okounkov on the quantum cohomology theory, see [MO]. We present a purely algebraic realization of these algebras by generators and relations. We discuss some families of …
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Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… Poisson algebra is a semiclassical limit of the Yangian of $ADE$-type. The space of global sections of the line bundle is a graded representation of the Poisson algebra. We find that, as a representation, it is a tensor product of the space of holomorphic functions with a finite dimensional …
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Infinite Dimensional Symmetries of Self-Dual Yang-Mills Theories.
… symmetry have been shown to be related as a Yangian algebra and moreover, anomalous terms appearing in their action on amplitudes lead to deformations of the generators which gives rise to recursive relationships between amplitudes.
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K-theoretic Hall algebras for quivers with potential
… etc. about geometric constructions of Yangians and their representations; indeed, given a quiver Q, there exists an associated pair (Q̃, W̃) for which the CoHA is conjecturally the positive half of the Yangian Y[subscript MO]([subscript gQ]). The goal of this thesis is to extend these …