Results 31 to 40 of about 12,502 (286)
Positive Energy Representations of Affine Vertex Algebras [PDF]
Communications in Mathematical Physics, 2020 We construct new families of positive energy representations of affine vertex algebras together with their free field realizations by using localization technique. We introduce the twisting functor T_ on the category of modules over affine Kac--Moody algebra \widehat{g}_ of level for any positive root of g, and the Wakimoto functor from a certain
Vyacheslav Futorny, Libor Křižka
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Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions
Demonstratio Mathematica, 2019 Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
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Asymptotic Representations of Quantum Affine Superalgebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 We study representations of the quantum affine superalgebra associated with a general linear Lie superalgebra. In the spirit of Hernandez-Jimbo, we construct inductive systems of Kirillov-Reshetikhin modules based on a cyclicity result that we established previously on tensor products of these modules, and realize their inductive limits as modules over
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Representations of Shifted Quantum Affine Algebras
International Mathematics Research Notices, 2022 AbstractWe develop the representation theory of shifted quantum affine algebras $\mathcal {U}_\mu (\hat {\mathfrak {g}})$ and of their truncations, which appeared in the study of quantized K-theoretic Coulomb branches of 3d $N = 4$ SUSY quiver gauge theories.
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Rational Dyck Paths in the Non Relatively Prime Case [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime case.
Eugene Gorsky +2 more
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Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian
Journal of High Energy Physics, 2018 The universal enveloping algebra of W $$ \mathcal{W} $$ 1+∞ is isomorphic to the affine Yangian of g l 1 $$ \mathfrak{g}{\mathfrak{l}}_1 $$ . We study the N $$ \mathcal{N} $$ = 2 supersymmetric version of this correspondence, and identify the full set of
Matthias R. Gaberdiel +2 more
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Spinor representations of affine Lie algebras [PDF]
Proceedings of the National Academy of Sciences, 1980 Let [unk] be an infinite-dimensional Kac-Moody Lie algebra of one of the types D l +1 (2) , B l (1) , or D l (1)
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Weight Representations of Admissible Affine Vertex Algebras [PDF]
Communications in Mathematical Physics, 2017 For an admissible affine vertex algebra $V_k(\mathfrak{g})$ of type $A$, we describe a new family of relaxed highest weight representations of $V_k(\mathfrak{g})$. They are simple quotients of representations of the affine Kac-Moody algebra $\widehat{\mathfrak{g}}$ induced from the following $\mathfrak{g}$-modules: 1) generic Gelfand-Tsetlin modules in
Tomoyuki Arakawa +2 more
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Engineering 3D N=2 theories using the quantum affine sl(2) algebra
Nuclear Physics B, 2022 The algebraic engineering technique is applied to a class of 3D N=2 gauge theories on the omega-deformed background Rε2×S1. The vortex partition function and the fundamental qq-character are obtained from a network of intertwiners between representations
Jean-Emile Bourgine
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Representation of Abstract Affine Functions
Real Analysis Exchange, 2003 Let \(K\) and \(L\) be compact spaces. Given a continuous surjection \(\varphi:K\to L\) and a real function \(g\) on \(L\), put \(f=g\circ \varphi\). The author proves that \(f\) is Borel iff so is \(g\) and announces a generalization to perfect maps which will appear elsewhere.
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